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645235740 = 223354725423
BaseRepresentation
bin100110011101011…
…000010000011100
31122222010101001000
4212131120100130
52310140020430
6144005350300
721663261522
oct4635302034
91588111030
10645235740
11301245186
12160108390
13a38a65c6
14619a0312
153b9a5e60
hex2675841c

645235740 has 96 divisors (see below), whose sum is σ = 2050191360. Its totient is φ = 168395328.

The previous prime is 645235733. The next prime is 645235753. The reversal of 645235740 is 47532546.

645235740 is a `hidden beast` number, since 64 + 5 + 23 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 645235695 and 645235704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12669 + ... + 38091.

It is an arithmetic number, because the mean of its divisors is an integer number (21356160).

Almost surely, 2645235740 is an apocalyptic number.

645235740 is a gapful number since it is divisible by the number (60) 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 645235740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025095680).

645235740 is an abundant number, since it is smaller than the sum of its proper divisors (1404955620).

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

645235740 is a wasteful number, since it uses less digits than its factorization.

645235740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25488 (or 25480 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 645235740 is about 25401.4909011263. The cubic root of 645235740 is about 864.1175090945.

The spelling of 645235740 in words is "six hundred forty-five million, two hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 25423 50846 76269 101692 127115 152538 228807 254230 305076 381345 457614 508460 686421 762690 915228 1144035 1194881 1372842 1525380 2288070 2389762 2745684 3432105 3584643 4576140 4779524 5974405 6864210 7169286 10753929 11948810 13728420 14338572 17923215 21507858 23897620 32261787 35846430 43015716 53769645 64523574 71692860 107539290 129047148 161308935 215078580 322617870 645235740