Search a number
-
+
20132400132 = 22321327941887
BaseRepresentation
bin10010101111111111…
…000000110000000100
31220222001122220002100
4102233333000300010
5312212343301012
613125415112100
71311620402055
oct225777006004
956861586070
1020132400132
1185a1240219
123a9a372630
131b8ac53a00
14d8db0c72c
157cc6c08dc
hex4affc0c04

20132400132 has 108 divisors (see below), whose sum is σ = 55804869120. Its totient is φ = 6116026176.

The previous prime is 20132400121. The next prime is 20132400137. The reversal of 20132400132 is 23100423102.

20132400132 is a `hidden beast` number, since 2 + 0 + 132 + 400 + 132 = 666.

It is a super-4 number, since 4×201324001324 (a number of 42 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20132400137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459693 + ... + 501579.

Almost surely, 220132400132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27902434560).

20132400132 is an abundant number, since it is smaller than the sum of its proper divisors (35672468988).

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

20132400132 is a wasteful number, since it uses less digits than its factorization.

20132400132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42002 (or 41984 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20132400132 its reverse (23100423102), we get a palindrome (43232823234).

The spelling of 20132400132 in words is "twenty billion, one hundred thirty-two million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 169 234 237 316 338 468 474 507 676 711 948 1014 1027 1422 1521 2028 2054 2844 3042 3081 4108 6084 6162 9243 12324 13351 18486 26702 36972 40053 41887 53404 80106 83774 120159 125661 160212 167548 240318 251322 376983 480636 502644 544531 753966 1089062 1507932 1633593 2178124 3267186 3309073 4900779 6534372 6618146 7078903 9801558 9927219 13236292 14157806 19603116 19854438 21236709 28315612 29781657 39708876 42473418 43017949 59563314 63710127 84946836 86035898 119126628 127420254 129053847 172071796 254840508 258107694 387161541 516215388 559233337 774323082 1118466674 1548646164 1677700011 2236933348 3355400022 5033100033 6710800044 10066200066 20132400132