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1377678240 = 25335318907
BaseRepresentation
bin101001000011101…
…1011001110100000
310120000100022021000
41102013123032200
510310141200430
6344412232000
746066033431
oct12207331640
93500308230
101377678240
11647733064
1232546b600
1318c564633
14d0d81488
1580e35e60
hex521db3a0

1377678240 has 96 divisors (see below), whose sum is σ = 4821888960. Its totient is φ = 367379712.

The previous prime is 1377678221. The next prime is 1377678257. The reversal of 1377678240 is 428767731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155134 + ... + 163773.

It is an arithmetic number, because the mean of its divisors is an integer number (50228010).

Almost surely, 21377678240 is an apocalyptic number.

1377678240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1377678240 is an abundant number, since it is smaller than the sum of its proper divisors (3444210720).

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

1377678240 is a wasteful number, since it uses less digits than its factorization.

1377678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318931 (or 318917 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1377678240 is about 37117.0882478677. The cubic root of 1377678240 is about 1112.7115591434.

The spelling of 1377678240 in words is "one billion, three hundred seventy-seven million, six hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 318907 637814 956721 1275628 1594535 1913442 2551256 2870163 3189070 3826884 4783605 5102512 5740326 6378140 7653768 8610489 9567210 10205024 11480652 12756280 14350815 15307536 17220978 19134420 22961304 25512560 28701630 30615072 34441956 38268840 43052445 45922608 51025120 57403260 68883912 76537680 86104890 91845216 114806520 137767824 153075360 172209780 229613040 275535648 344419560 459226080 688839120 1377678240