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152989020 = 22335733881
BaseRepresentation
bin10010001111001…
…10110101011100
3101122212122111000
421013212311130
5303131122040
623103030300
73535246062
oct1107466534
9348778430
10152989020
11793a3a08
124329b390
1325907562
1416466032
15d670130
hex91e6d5c

152989020 has 96 divisors (see below), whose sum is σ = 482610240. Its totient is φ = 40227840.

The previous prime is 152989013. The next prime is 152989027. The reversal of 152989020 is 20989251.

It is an interprime number because it is at equal distance from previous prime (152989013) and next prime (152989027).

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 (152989027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37480 + ... + 41360.

It is an arithmetic number, because the mean of its divisors is an integer number (5027190).

Almost surely, 2152989020 is an apocalyptic number.

152989020 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 152989020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241305120).

152989020 is an abundant number, since it is smaller than the sum of its proper divisors (329621220).

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

152989020 is a wasteful number, since it uses less digits than its factorization.

152989020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 152989020 is about 12368.8730286959. The cubic root of 152989020 is about 534.8353294118.

The spelling of 152989020 in words is "one hundred fifty-two million, nine hundred eighty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3285 3881 3942 4380 6570 7762 7884 9855 11643 13140 15524 19405 19710 23286 34929 38810 39420 46572 58215 69858 77620 104787 116430 139716 174645 209574 232860 283313 349290 419148 523935 566626 698580 849939 1047870 1133252 1416565 1699878 2095740 2549817 2833130 3399756 4249695 5099634 5666260 7649451 8499390 10199268 12749085 15298902 16998780 25498170 30597804 38247255 50996340 76494510 152989020