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380372120 = 235291931699
BaseRepresentation
bin10110101011000…
…000010010011000
3222111201220110022
4112223000102120
51234333401440
6101424410012
712266052422
oct2653002230
9874656408
10380372120
1118578a227
12a7476908
1360a5b67b
1438735812
15235d7cb5
hex16ac0498

380372120 has 64 divisors (see below), whose sum is σ = 890460000. Its totient is φ = 146055168.

The previous prime is 380372101. The next prime is 380372203. The reversal of 380372120 is 21273083.

It is a self number, because there is not a number n which added to its sum of digits gives 380372120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223031 + ... + 224729.

Almost surely, 2380372120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380372120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445230000).

380372120 is an abundant number, since it is smaller than the sum of its proper divisors (510087880).

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

380372120 is a wasteful number, since it uses less digits than its factorization.

380372120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 380372120 is about 19503.1310306833. The cubic root of 380372120 is about 724.5519990849.

The spelling of 380372120 in words is "three hundred eighty million, three hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 193 232 290 386 580 772 965 1160 1544 1699 1930 3398 3860 5597 6796 7720 8495 11194 13592 16990 22388 27985 33980 44776 49271 55970 67960 98542 111940 197084 223880 246355 327907 394168 492710 655814 985420 1311628 1639535 1970840 2623256 3279070 6558140 9509303 13116280 19018606 38037212 47546515 76074424 95093030 190186060 380372120