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159916900 = 2252111353211
BaseRepresentation
bin10011000100000…
…10001101100100
3102010220121202011
421202002031210
5311414320100
623511324004
73651162013
oct1142021544
9363817664
10159916900
11822a5a30
1245680604
13271919b0
141734aa7a
15e08cbba
hex9882364

159916900 has 144 divisors (see below), whose sum is σ = 417348288. Its totient is φ = 52416000.

The previous prime is 159916877. The next prime is 159916927. The reversal of 159916900 is 9619951.

159916900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1599169002 = 51146829811220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757795 + ... + 758005.

It is an arithmetic number, because the mean of its divisors is an integer number (2898252).

Almost surely, 2159916900 is an apocalyptic number.

159916900 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 159916900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208674144).

159916900 is an abundant number, since it is smaller than the sum of its proper divisors (257431388).

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

159916900 is a wasteful number, since it uses less digits than its factorization.

159916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 40.

The square root of 159916900 is about 12645.8253981304. The cubic root of 159916900 is about 542.7895203329.

The spelling of 159916900 in words is "one hundred fifty-nine million, nine hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 53 55 65 100 106 110 130 143 211 212 220 260 265 275 286 325 422 530 550 572 583 650 689 715 844 1055 1060 1100 1166 1300 1325 1378 1430 2110 2321 2332 2650 2743 2756 2860 2915 3445 3575 4220 4642 5275 5300 5486 5830 6890 7150 7579 9284 10550 10972 11183 11605 11660 13715 13780 14300 14575 15158 17225 21100 22366 23210 27430 29150 30173 30316 34450 37895 44732 46420 54860 55915 58025 58300 60346 68575 68900 75790 111830 116050 120692 123013 137150 145379 150865 151580 189475 223660 232100 246026 274300 279575 290758 301730 378950 492052 559150 581516 603460 615065 726895 754325 757900 1118300 1230130 1453790 1508650 1599169 2460260 2907580 3017300 3075325 3198338 3634475 6150650 6396676 7268950 7995845 12301300 14537900 15991690 31983380 39979225 79958450 159916900