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1357747840 = 27517124793
BaseRepresentation
bin101000011101101…
…1001011010000000
310111121211201220001
41100323121122000
510240040412330
6342421125344
745434444341
oct12073313200
93447751801
101357747840
11637460059
1231a859854
131883a6ab7
14cc4740c8
157e2ea9ca
hex50ed9680

1357747840 has 64 divisors (see below), whose sum is σ = 3436826760. Its totient is φ = 511148032.

The previous prime is 1357747817. The next prime is 1357747843. The reversal of 1357747840 is 487477531.

It can be written as a sum of positive squares in 4 ways, for example, as 1116629056 + 241118784 = 33416^2 + 15528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1357747843) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51517 + ... + 73276.

Almost surely, 21357747840 is an apocalyptic number.

1357747840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1357747840 is an abundant number, since it is smaller than the sum of its proper divisors (2079078920).

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

1357747840 is a wasteful number, since it uses less digits than its factorization.

1357747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124829 (or 124817 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The square root of 1357747840 is about 36847.6300459066. The cubic root of 1357747840 is about 1107.3197351772.

The spelling of 1357747840 in words is "one billion, three hundred fifty-seven million, seven hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 124793 249586 499172 623965 998344 1247930 1996688 2121481 2495860 3993376 4242962 4991720 7986752 8485924 9983440 10607405 15973504 16971848 19966880 21214810 33943696 39933760 42429620 67887392 79867520 84859240 135774784 169718480 271549568 339436960 678873920 1357747840