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152533980 = 22325372619
BaseRepresentation
bin10010001011101…
…11101111011100
3101122000112021200
421011313233130
5303022041410
623045155500
73531342324
oct1105675734
9348015250
10152533980
1179113045
12430bbb90
13257a83c1
1416388284
15d5d03c0
hex9177bdc

152533980 has 108 divisors (see below), whose sum is σ = 476297640. Its totient is φ = 39512448.

The previous prime is 152533921. The next prime is 152534027. The reversal of 152533980 is 89335251.

152533980 is a `hidden beast` number, since 15 + 253 + 398 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246111 + ... + 246729.

Almost surely, 2152533980 is an apocalyptic number.

152533980 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 152533980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238148820).

152533980 is an abundant number, since it is smaller than the sum of its proper divisors (323763660).

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

152533980 is a wasteful number, since it uses less digits than its factorization.

152533980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 152533980 is about 12350.4647685826. The cubic root of 152533980 is about 534.3045437015.

The spelling of 152533980 in words is "one hundred fifty-two million, five hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 619 666 740 1110 1238 1332 1369 1665 1857 2220 2476 2738 3095 3330 3714 4107 5476 5571 6190 6660 6845 7428 8214 9285 11142 12321 12380 13690 16428 18570 20535 22284 22903 24642 27380 27855 37140 41070 45806 49284 55710 61605 68709 82140 91612 111420 114515 123210 137418 206127 229030 246420 274836 343545 412254 458060 687090 824508 847411 1030635 1374180 1694822 2061270 2542233 3389644 4122540 4237055 5084466 7626699 8474110 10168932 12711165 15253398 16948220 25422330 30506796 38133495 50844660 76266990 152533980