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1011422440 = 235719414637
BaseRepresentation
bin111100010010010…
…001010011101000
32121111011120202101
4330102101103220
54032411004230
6244210143144
734030643320
oct7422212350
92544146671
101011422440
11479a15716
12242881ab4
13131709322
1498482280
155dbdaaca
hex3c4914e8

1011422440 has 128 divisors (see below), whose sum is σ = 2805062400. Its totient is φ = 320440320.

The previous prime is 1011422413. The next prime is 1011422441. The reversal of 1011422440 is 442241101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1011422441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215802 + ... + 220438.

It is an arithmetic number, because the mean of its divisors is an integer number (21914550).

Almost surely, 21011422440 is an apocalyptic number.

1011422440 is a gapful number since it is divisible by the number (10) 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 1011422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402531200).

1011422440 is an abundant number, since it is smaller than the sum of its proper divisors (1793639960).

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

1011422440 is a wasteful number, since it uses less digits than its factorization.

1011422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1011422440 is about 31802.8684240903. The cubic root of 1011422440 is about 1003.7930743958.

Adding to 1011422440 its reverse (442241101), we get a palindrome (1453663541).

The spelling of 1011422440 in words is "one billion, eleven million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 41 56 70 76 82 95 133 140 152 164 190 205 266 280 287 328 380 410 532 574 665 760 779 820 1064 1148 1330 1435 1558 1640 2296 2660 2870 3116 3895 4637 5320 5453 5740 6232 7790 9274 10906 11480 15580 18548 21812 23185 27265 31160 32459 37096 43624 46370 54530 64918 88103 92740 109060 129836 162295 176206 185480 190117 218120 259672 324590 352412 380234 440515 616721 649180 704824 760468 881030 950585 1233442 1298360 1330819 1520936 1762060 1901170 2466884 2661638 3083605 3524120 3612223 3802340 4933768 5323276 6167210 6654095 7224446 7604680 10646552 12334420 13308190 14448892 18061115 24668840 25285561 26616380 28897784 36122230 50571122 53232760 72244460 101142244 126427805 144488920 202284488 252855610 505711220 1011422440