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235714040 = 23567281313
BaseRepresentation
bin11100000110010…
…11010111111000
3121102112111212122
432003023113320
5440320322130
635220100412
75561351642
oct1603132770
9542474778
10235714040
111110664a1
1266b34708
1339ab0083
142343b892
1515a612e5
hexe0cb5f8

235714040 has 64 divisors (see below), whose sum is σ = 541913760. Its totient is φ = 92252160.

The previous prime is 235713997. The next prime is 235714069. The reversal of 235714040 is 40417532.

It is a super-2 number, since 2×2357140402 = 111122217306243200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752924 + ... + 753236.

Almost surely, 2235714040 is an apocalyptic number.

235714040 is a gapful number since it is divisible by the number (20) 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 235714040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270956880).

235714040 is an abundant number, since it is smaller than the sum of its proper divisors (306199720).

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

235714040 is a wasteful number, since it uses less digits than its factorization.

235714040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 235714040 is about 15352.9814694085. The cubic root of 235714040 is about 617.7249607881.

The spelling of 235714040 in words is "two hundred thirty-five million, seven hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 281 313 335 536 562 626 670 1124 1252 1340 1405 1565 2248 2504 2680 2810 3130 5620 6260 11240 12520 18827 20971 37654 41942 75308 83884 87953 94135 104855 150616 167768 175906 188270 209710 351812 376540 419420 439765 703624 753080 838840 879530 1759060 3518120 5892851 11785702 23571404 29464255 47142808 58928510 117857020 235714040