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1379406690 = 23251731127229
BaseRepresentation
bin101001000111000…
…0001001101100010
310120010121010020200
41102032001031202
510311112003230
6344513250030
746116522564
oct12216011542
93503533220
101379406690
11648703732
12325b63916
1318ca1b29c
14d12b1334
1581178160
hex52381362

1379406690 has 192 divisors, whose sum is σ = 3968040960. Its totient is φ = 330946560.

The previous prime is 1379406689. The next prime is 1379406701. The reversal of 1379406690 is 966049731.

It is a super-2 number, since 2×13794066902 = 3805525632833512200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 6023496 + ... + 6023724.

It is an arithmetic number, because the mean of its divisors is an integer number (20666880).

Almost surely, 21379406690 is an apocalyptic number.

1379406690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379406690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984020480).

1379406690 is an abundant number, since it is smaller than the sum of its proper divisors (2588634270).

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

1379406690 is a wasteful number, since it uses less digits than its factorization.

1379406690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1379406690 is about 37140.3646993403. The cubic root of 1379406690 is about 1113.1767046522.

The spelling of 1379406690 in words is "one billion, three hundred seventy-nine million, four hundred six thousand, six hundred ninety".