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1380690 = 232523229
BaseRepresentation
bin101010001000101010010
32121010221200
411101011102
5323140230
645332030
714510223
oct5210522
92533850
101380690
11863373
12567016
1339459c
1427d24a
151c4160
hex151152

1380690 has 72 divisors (see below), whose sum is σ = 3882060. Its totient is φ = 340032.

The previous prime is 1380679. The next prime is 1380707. The reversal of 1380690 is 960831.

1380690 = T59 + T60 + ... + T203.

1380690 = 2132 + 2142 + ... + 2392.

It can be written as a sum of positive squares in 2 ways, for example, as 1375929 + 4761 = 1173^2 + 69^2 .

It is a super-2 number, since 2×13806902 = 3812609752200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47596 + ... + 47624.

21380690 is an apocalyptic number.

1380690 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 1380690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941030).

1380690 is an abundant number, since it is smaller than the sum of its proper divisors (2501370).

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

1380690 is a wasteful number, since it uses less digits than its factorization.

1380690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1380690 is about 1175.0276592489. The cubic root of 1380690 is about 111.3521806650.

The spelling of 1380690 in words is "one million, three hundred eighty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 29 30 45 46 58 69 87 90 115 138 145 174 207 230 261 290 345 414 435 522 529 667 690 870 1035 1058 1305 1334 1587 2001 2070 2610 2645 3174 3335 4002 4761 5290 6003 6670 7935 9522 10005 12006 15341 15870 20010 23805 30015 30682 46023 47610 60030 76705 92046 138069 153410 230115 276138 460230 690345 1380690