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45666140 = 225133747101
BaseRepresentation
bin1010111000110…
…0111101011100
310011221002011112
42232030331130
543142304030
64310441152
71063104302
oct256147534
9104832145
1045666140
1123860713
12133631b8
1395cb8b0
1460ca272
154020a95
hex2b8cf5c

45666140 has 96 divisors (see below), whose sum is σ = 109396224. Its totient is φ = 15897600.

The previous prime is 45666133. The next prime is 45666143. The reversal of 45666140 is 4166654.

It is a junction number, because it is equal to n+sod(n) for n = 45666097 and 45666106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45666143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452090 + ... + 452190.

It is an arithmetic number, because the mean of its divisors is an integer number (1139544).

Almost surely, 245666140 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 45666140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54698112).

45666140 is an abundant number, since it is smaller than the sum of its proper divisors (63730084).

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

45666140 is a wasteful number, since it uses less digits than its factorization.

45666140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 45666140 is about 6757.6726762991. The cubic root of 45666140 is about 357.4358435413.

The spelling of 45666140 in words is "forty-five million, six hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 47 52 65 74 94 101 130 148 185 188 202 235 260 370 404 470 481 505 611 740 940 962 1010 1222 1313 1739 1924 2020 2405 2444 2626 3055 3478 3737 4747 4810 5252 6110 6565 6956 7474 8695 9494 9620 12220 13130 14948 17390 18685 18988 22607 23735 26260 34780 37370 45214 47470 48581 61711 74740 90428 94940 97162 113035 123422 175639 194324 226070 242905 246844 308555 351278 452140 485810 617110 702556 878195 971620 1234220 1756390 2283307 3512780 4566614 9133228 11416535 22833070 45666140