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645701940 = 2232513275941
BaseRepresentation
bin100110011111001…
…010000100110100
31200000000001112200
4212133022010310
52310244430230
6144023344500
722000242642
oct4637120464
91600001480
10645701940
11301533474
121602b2130
13a3a0a870
1461a82192
153ba49160
hex267ca134

645701940 has 72 divisors (see below), whose sum is σ = 2109300648. Its totient is φ = 158941440.

The previous prime is 645701923. The next prime is 645701957. The reversal of 645701940 is 49107546.

645701940 is a `hidden beast` number, since 645 + 7 + 0 + 1 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (645701923) and next prime (645701957).

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 645363216 = 582^2 + 25404^2 .

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 = 645701895 and 645701904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135631 + ... + 140310.

Almost surely, 2645701940 is an apocalyptic number.

645701940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645701940 is an abundant number, since it is smaller than the sum of its proper divisors (1463598708).

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

645701940 is a wasteful number, since it uses less digits than its factorization.

645701940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275969 (or 275964 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 645701940 is about 25410.6658708504. The cubic root of 645701940 is about 864.3255749600.

The spelling of 645701940 in words is "six hundred forty-five million, seven hundred one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 275941 551882 827823 1103764 1379705 1655646 2483469 2759410 3311292 3587233 4139115 4966938 5518820 7174466 8278230 9933876 10761699 12417345 14348932 16556460 17936165 21523398 24834690 32285097 35872330 43046796 49669380 53808495 64570194 71744660 107616990 129140388 161425485 215233980 322850970 645701940