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2135069460 = 22325371132837
BaseRepresentation
bin111111101000010…
…1001001100010100
312111210111202200200
41333100221030110
513333034210320
6551505540500
7103623535206
oct17720511424
95453452620
102135069460
119a6211317
124b7044730
13280449414
141637b8776
15c7693290
hex7f429314

2135069460 has 144 divisors (see below), whose sum is σ = 6712641936. Its totient is φ = 548868096.

The previous prime is 2135069441. The next prime is 2135069467. The reversal of 2135069460 is 649605312.

It is a happy number.

2135069460 is a `hidden beast` number, since 2 + 1 + 3 + 506 + 94 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 436475664 + 1698593796 = 20892^2 + 41214^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135069467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751162 + ... + 753998.

It is an arithmetic number, because the mean of its divisors is an integer number (46615569).

Almost surely, 22135069460 is an apocalyptic number.

2135069460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135069460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356320968).

2135069460 is an abundant number, since it is smaller than the sum of its proper divisors (4577572476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2135069460 is a wasteful number, since it uses less digits than its factorization.

2135069460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2135069460 is about 46206.8118354859. The cubic root of 2135069460 is about 1287.6682955923.

The spelling of 2135069460 in words is "two billion, one hundred thirty-five million, sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 113 148 180 185 222 226 333 339 370 444 452 555 565 666 678 740 1017 1110 1130 1332 1356 1665 1695 2034 2220 2260 2837 3330 3390 4068 4181 5085 5674 6660 6780 8362 8511 10170 11348 12543 14185 16724 17022 20340 20905 25086 25533 28370 34044 37629 41810 42555 50172 51066 56740 62715 75258 83620 85110 102132 104969 125430 127665 150516 170220 188145 209938 250860 255330 314907 320581 376290 419876 510660 524845 629814 641162 752580 944721 961743 1049690 1259628 1282324 1574535 1602905 1889442 1923486 2099380 2885229 3149070 3205810 3778884 3846972 4723605 4808715 5770458 6298140 6411620 9447210 9617430 11540916 11861497 14426145 18894420 19234860 23722994 28852290 35584491 47445988 57704580 59307485 71168982 106753473 118614970 142337964 177922455 213506946 237229940 355844910 427013892 533767365 711689820 1067534730 2135069460