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232132040 = 23574092027
BaseRepresentation
bin11011101011000…
…00110111001000
3121011210112021222
431311200313020
5433411211130
635011221212
75516042540
oct1565406710
9534715258
10232132040
1110a03a268
12658a7808
133912784a
1422b88320
15155a4ce5
hexdd60dc8

232132040 has 64 divisors (see below), whose sum is σ = 598665600. Its totient is φ = 79354368.

The previous prime is 232132009. The next prime is 232132051. The reversal of 232132040 is 40231232.

232132040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 113507 + ... + 115533.

It is an arithmetic number, because the mean of its divisors is an integer number (9354150).

Almost surely, 2232132040 is an apocalyptic number.

232132040 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 232132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299332800).

232132040 is an abundant number, since it is smaller than the sum of its proper divisors (366533560).

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

232132040 is a wasteful number, since it uses less digits than its factorization.

232132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 232132040 is about 15235.8800205305. The cubic root of 232132040 is about 614.5799144985.

Adding to 232132040 its reverse (40231232), we get a palindrome (272363272).

The spelling of 232132040 in words is "two hundred thirty-two million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 409 818 1636 2027 2045 2863 3272 4054 4090 5726 8108 8180 10135 11452 14189 14315 16216 16360 20270 22904 28378 28630 40540 56756 57260 70945 81080 113512 114520 141890 283780 567560 829043 1658086 3316172 4145215 5803301 6632344 8290430 11606602 16580860 23213204 29016505 33161720 46426408 58033010 116066020 232132040