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1370918864 = 24732310861
BaseRepresentation
bin101000110110110…
…1000111111010000
310112112121220010202
41101231220333100
510301423400424
6344011314332
745654422000
oct12155507720
93475556122
101370918864
116439366a7
1232314b9a8
1318b038ac3
14d0102000
158054d2ae
hex51b68fd0

1370918864 has 80 divisors (see below), whose sum is σ = 3232531200. Its totient is φ = 561939840.

The previous prime is 1370918849. The next prime is 1370918869. The reversal of 1370918864 is 4688190731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370918869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120794 + ... + 131654.

It is an arithmetic number, because the mean of its divisors is an integer number (40406640).

Almost surely, 21370918864 is an apocalyptic number.

1370918864 is a gapful number since it is divisible by the number (14) 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 1370918864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616265600).

1370918864 is an abundant number, since it is smaller than the sum of its proper divisors (1861612336).

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

1370918864 is a wasteful number, since it uses less digits than its factorization.

1370918864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10913 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 1370918864 is about 37025.9215145282. The cubic root of 1370918864 is about 1110.8887895395. Note that the first 3 decimals are identical.

The spelling of 1370918864 in words is "one billion, three hundred seventy million, nine hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 343 368 392 644 686 784 1127 1288 1372 2254 2576 2744 4508 5488 7889 9016 10861 15778 18032 21722 31556 43444 63112 76027 86888 126224 152054 173776 249803 304108 499606 532189 608216 999212 1064378 1216432 1748621 1998424 2128756 3497242 3725323 3996848 4257512 6994484 7450646 8515024 12240347 13988968 14901292 24480694 27977936 29802584 48961388 59605168 85682429 97922776 171364858 195845552 342729716 685459432 1370918864