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232671040 = 2657241431
BaseRepresentation
bin11011101111001…
…00011101000000
3121012210220122221
431313210131000
5434030433130
635030540424
75523446140
oct1567443500
9535726587
10232671040
1110a378218
1265b07714
1339285c94
1422c88920
151565e87a
hexdde4740

232671040 has 112 divisors (see below), whose sum is σ = 637300224. Its totient is φ = 79257600.

The previous prime is 232671029. The next prime is 232671053. The reversal of 232671040 is 40176232.

232671040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 232670996 and 232671014.

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, 539625 + ... + 540055.

Almost surely, 2232671040 is an apocalyptic number.

232671040 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 232671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318650112).

232671040 is an abundant number, since it is smaller than the sum of its proper divisors (404629184).

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

232671040 is a wasteful number, since it uses less digits than its factorization.

232671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 232671040 is about 15253.5582733997. The cubic root of 232671040 is about 615.0552223090.

The spelling of 232671040 in words is "two hundred thirty-two million, six hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 241 280 320 431 448 482 560 862 964 1120 1205 1687 1724 1928 2155 2240 2410 3017 3374 3448 3856 4310 4820 6034 6748 6896 7712 8435 8620 9640 12068 13496 13792 15085 15424 16870 17240 19280 24136 26992 27584 30170 33740 34480 38560 48272 53984 60340 67480 68960 77120 96544 103871 107968 120680 134960 137920 193088 207742 241360 269920 415484 482720 519355 539840 727097 830968 965440 1038710 1454194 1661936 2077420 2908388 3323872 3635485 4154840 5816776 6647744 7270970 8309680 11633552 14541940 16619360 23267104 29083880 33238720 46534208 58167760 116335520 232671040