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156031020 = 223252971421
BaseRepresentation
bin10010100110011…
…01100000101100
3101212121012022200
421103031200230
5304420443040
623252141500
73603145635
oct1123154054
9355535280
10156031020
1180091462
1244307890
1326431062
1416a1888c
15da71630
hex94cd82c

156031020 has 144 divisors (see below), whose sum is σ = 497689920. Its totient is φ = 39513600.

The previous prime is 156031009. The next prime is 156031027. The reversal of 156031020 is 20130651.

156031020 is a `hidden beast` number, since 1 + 560 + 3 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 156030984 and 156031002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156031027) 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, 370410 + ... + 370830.

It is an arithmetic number, because the mean of its divisors is an integer number (3456180).

Almost surely, 2156031020 is an apocalyptic number.

156031020 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 156031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248844960).

156031020 is an abundant number, since it is smaller than the sum of its proper divisors (341658900).

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

156031020 is a wasteful number, since it uses less digits than its factorization.

156031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 156031020 is about 12491.2377289042. The cubic root of 156031020 is about 538.3569398814.

Adding to 156031020 its reverse (20130651), we get a palindrome (176161671).

The spelling of 156031020 in words is "one hundred fifty-six million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 71 87 90 116 142 145 174 180 213 261 284 290 348 355 421 426 435 522 580 639 710 842 852 870 1044 1065 1263 1278 1305 1420 1684 1740 2059 2105 2130 2526 2556 2610 3195 3789 4118 4210 4260 5052 5220 6177 6315 6390 7578 8236 8420 10295 12209 12354 12630 12780 15156 18531 18945 20590 24418 24708 25260 29891 30885 36627 37062 37890 41180 48836 59782 61045 61770 73254 74124 75780 89673 92655 109881 119564 122090 123540 146508 149455 179346 183135 185310 219762 244180 269019 298910 358692 366270 370620 439524 448365 538038 549405 597820 732540 866839 896730 1076076 1098810 1345095 1733678 1793460 2197620 2600517 2690190 3467356 4334195 5201034 5380380 7801551 8668390 10402068 13002585 15603102 17336780 26005170 31206204 39007755 52010340 78015510 156031020