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2159061480 = 233453132129
BaseRepresentation
bin1000000010110000…
…1010100111101000
312120110122200120000
42000230022213220
513410204431410
6554124103000
7104334501612
oct20054124750
95513580500
102159061480
11a08808934
12503094a60
132853c9894
14166a61db2
15c9831dc0
hex80b0a9e8

2159061480 has 160 divisors (see below), whose sum is σ = 7283449800. Its totient is φ = 573640704.

The previous prime is 2159061479. The next prime is 2159061521. The reversal of 2159061480 is 841609512.

2159061480 is a `hidden beast` number, since 2 + 1 + 590 + 61 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 739731204 + 1419330276 = 27198^2 + 37674^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1013056 + ... + 1015184.

Almost surely, 22159061480 is an apocalyptic number.

2159061480 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 2159061480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641724900).

2159061480 is an abundant number, since it is smaller than the sum of its proper divisors (5124388320).

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

2159061480 is a wasteful number, since it uses less digits than its factorization.

2159061480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2159061480 is about 46465.7021898949. The cubic root of 2159061480 is about 1292.4735665223.

The spelling of 2159061480 in words is "two billion, one hundred fifty-nine million, sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 313 324 360 405 540 626 648 810 939 1080 1252 1565 1620 1878 2129 2504 2817 3130 3240 3756 4258 4695 5634 6260 6387 7512 8451 8516 9390 10645 11268 12520 12774 14085 16902 17032 18780 19161 21290 22536 25353 25548 28170 31935 33804 37560 38322 42255 42580 50706 51096 56340 57483 63870 67608 76644 84510 85160 95805 101412 112680 114966 126765 127740 153288 169020 172449 191610 202824 229932 253530 255480 287415 338040 344898 383220 459864 507060 574830 666377 689796 766440 862245 1014120 1149660 1332754 1379592 1724490 1999131 2299320 2665508 3331885 3448980 3998262 5331016 5997393 6663770 6897960 7996524 9995655 11994786 13327540 15993048 17992179 19991310 23989572 26655080 29986965 35984358 39982620 47979144 53976537 59973930 71968716 79965240 89960895 107953074 119947860 143937432 179921790 215906148 239895720 269882685 359843580 431812296 539765370 719687160 1079530740 2159061480