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153663132 = 22379718859
BaseRepresentation
bin10010010100010…
…11011010011100
3101201010220012010
421022023122130
5303314210012
623125311220
73544054320
oct1112133234
9351126163
10153663132
1179814427
1243565510
1325ab233c
141659d980
15d754c3c
hex928b69c

153663132 has 48 divisors (see below), whose sum is σ = 414014720. Its totient is φ = 43448832.

The previous prime is 153663113. The next prime is 153663149. The reversal of 153663132 is 231366351.

It is a happy number.

It is a super-2 number, since 2×1536631322 = 47224716272098848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153663132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 17577.

Almost surely, 2153663132 is an apocalyptic number.

153663132 is a gapful number since it is divisible by the number (12) 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 153663132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207007360).

153663132 is an abundant number, since it is smaller than the sum of its proper divisors (260351588).

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

153663132 is a wasteful number, since it uses less digits than its factorization.

153663132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18970 (or 18968 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 153663132 is about 12396.0934168794. The cubic root of 153663132 is about 535.6197226562.

The spelling of 153663132 in words is "one hundred fifty-three million, six hundred sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 4074 8148 18859 37718 56577 75436 113154 132013 226308 264026 396039 528052 792078 1584156 1829323 3658646 5487969 7317292 10975938 12805261 21951876 25610522 38415783 51221044 76831566 153663132