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1380356190 = 232561251431
BaseRepresentation
bin101001001000110…
…1001000001011110
310120012101100201100
41102101221001132
510311332344230
6344545453530
746130556033
oct12221510136
93505340640
101380356190
116491a2044
123263412a6
1318cc91515
14d147b38a
15812b4660
hex5246905e

1380356190 has 48 divisors (see below), whose sum is σ = 3647775456. Its totient is φ = 362059200.

The previous prime is 1380356183. The next prime is 1380356203. The reversal of 1380356190 is 916530831.

It is a happy number.

1380356190 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 3 + 561 + 90 = 666.

It is a super-2 number, since 2×13803561902 = 3810766422542632200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120226 + ... + 131205.

It is an arithmetic number, because the mean of its divisors is an integer number (75995322).

Almost surely, 21380356190 is an apocalyptic number.

1380356190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1380356190 is an abundant number, since it is smaller than the sum of its proper divisors (2267419266).

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

1380356190 is a wasteful number, since it uses less digits than its factorization.

1380356190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251505 (or 251502 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1380356190 is about 37153.1450889423. The cubic root of 1380356190 is about 1113.4320605394.

The spelling of 1380356190 in words is "one billion, three hundred eighty million, three hundred fifty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 251431 502862 754293 1257155 1508586 2262879 2514310 3771465 4525758 7542930 11314395 15337291 22628790 30674582 46011873 76686455 92023746 138035619 153372910 230059365 276071238 460118730 690178095 1380356190