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645754140 = 223351962939
BaseRepresentation
bin100110011111010…
…110110100011100
31200000002201011000
4212133112310130
52310303113030
6144024430300
722000551063
oct4637266434
91600081130
10645754140
11301569709
12160318390
13a3a28555
1461a971da
153ba59860
hex267d6d1c

645754140 has 96 divisors (see below), whose sum is σ = 2114784000. Its totient is φ = 163135296.

The previous prime is 645754139. The next prime is 645754147. The reversal of 645754140 is 41457546.

645754140 is a `hidden beast` number, since 6 + 4 + 575 + 41 + 40 = 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 = 645754095 and 645754104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645754147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21210 + ... + 41729.

It is an arithmetic number, because the mean of its divisors is an integer number (22029000).

Almost surely, 2645754140 is an apocalyptic number.

645754140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645754140 is an abundant number, since it is smaller than the sum of its proper divisors (1469029860).

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

645754140 is a wasteful number, since it uses less digits than its factorization.

645754140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62976 (or 62968 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 645754140 is about 25411.6929778399. The cubic root of 645754140 is about 864.3488656748.

The spelling of 645754140 in words is "six hundred forty-five million, seven hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 62939 125878 188817 251756 314695 377634 566451 629390 755268 944085 1132902 1195841 1258780 1699353 1888170 2265804 2391682 2832255 3398706 3587523 3776340 4783364 5664510 5979205 6797412 7175046 8496765 10762569 11329020 11958410 14350092 16993530 17937615 21525138 23916820 32287707 33987060 35875230 43050276 53812845 64575414 71750460 107625690 129150828 161438535 215251380 322877070 645754140