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117441432 = 2332192932
BaseRepresentation
bin1110000000000…
…00001110011000
322011222122100200
413000000032120
5220031111212
615353102200
72624143563
oct700001630
9264878320
10117441432
1160324539
12333b7960
131b43c494
14118514da
15a49c6dc
hex7000398

117441432 has 72 divisors (see below), whose sum is σ = 335957700. Its totient is φ = 36960192.

The previous prime is 117441407. The next prime is 117441433. The reversal of 117441432 is 234144711.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 117441396 and 117441405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117441433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 400678 + ... + 400970.

Almost surely, 2117441432 is an apocalyptic number.

117441432 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 117441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167978850).

117441432 is an abundant number, since it is smaller than the sum of its proper divisors (218516268).

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

117441432 is a wasteful number, since it uses less digits than its factorization.

117441432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 317 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 117441432 is about 10837.0398172195. The cubic root of 117441432 is about 489.7116615432.

The spelling of 117441432 in words is "one hundred seventeen million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 293 342 456 586 684 879 1172 1368 1758 2344 2637 3516 5274 5567 7032 10548 11134 16701 21096 22268 33402 44536 50103 66804 85849 100206 133608 171698 200412 257547 343396 400824 515094 686792 772641 1030188 1545282 1631131 2060376 3090564 3262262 4893393 6181128 6524524 9786786 13049048 14680179 19573572 29360358 39147144 58720716 117441432