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1387930016 = 25112312373
BaseRepresentation
bin101001010111010…
…0010000110100000
310120201122011001102
41102232202012200
510320302230031
6345420053532
746252132124
oct12256420640
93521564042
101387930016
116524a5400
123289942a8
13191713985
14d248d584
1581cad7cb
hex52ba21a0

1387930016 has 108 divisors (see below), whose sum is σ = 3111809778. Its totient is φ = 608889600.

The previous prime is 1387929943. The next prime is 1387930079. The reversal of 1387930016 is 6100397831.

It can be written as a sum of positive squares in only one way, i.e., 1162810000 + 225120016 = 34100^2 + 15004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3720806 + ... + 3721178.

Almost surely, 21387930016 is an apocalyptic number.

1387930016 is a gapful number since it is divisible by the number (16) 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 1387930016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555904889).

1387930016 is an abundant number, since it is smaller than the sum of its proper divisors (1723879762).

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

1387930016 is a wasteful number, since it uses less digits than its factorization.

1387930016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 1387930016 is about 37254.9327740636. The cubic root of 1387930016 is about 1115.4647639168.

The spelling of 1387930016 in words is "one billion, three hundred eighty-seven million, nine hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 176 242 248 341 352 373 484 496 682 746 961 968 992 1364 1492 1922 1936 2728 2984 3751 3844 3872 4103 5456 5968 7502 7688 8206 10571 10912 11563 11936 15004 15376 16412 21142 23126 30008 30752 32824 42284 45133 46252 60016 65648 84568 90266 92504 116281 120032 127193 131296 169136 180532 185008 232562 254386 338272 358453 361064 370016 465124 508772 716906 722128 930248 1017544 1399123 1433812 1444256 1860496 2035088 2798246 2867624 3720992 3942983 4070176 5596492 5735248 7885966 11192984 11470496 15771932 22385968 31543864 43372813 44771936 63087728 86745626 126175456 173491252 346982504 693965008 1387930016