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380011275 = 32527376521
BaseRepresentation
bin10110101001101…
…000001100001011
3222111001120110200
4112221220030023
51234240330100
6101412543243
712263020410
oct2651501413
9874046420
10380011275
11185563106
12a7321b23
1360963357
1438680107
1523565e00
hex16a6830b

380011275 has 72 divisors (see below), whose sum is σ = 799023264. Its totient is φ = 168998400.

The previous prime is 380011243. The next prime is 380011279. The reversal of 380011275 is 572110083.

380011275 is a `hidden beast` number, since 380 + 0 + 11 + 275 = 666.

It is not a de Polignac number, because 380011275 - 25 = 380011243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380011279) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 55015 + ... + 61535.

Almost surely, 2380011275 is an apocalyptic number.

380011275 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

380011275 is an abundant number, since it is smaller than the sum of its proper divisors (419011989).

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

380011275 is a wasteful number, since it uses less digits than its factorization.

380011275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 380011275 is about 19493.8778851208. The cubic root of 380011275 is about 724.3228080092.

The spelling of 380011275 in words is "three hundred eighty million, eleven thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 45 63 75 105 111 175 185 225 259 315 333 525 555 777 925 1295 1575 1665 2331 2775 3885 6475 6521 8325 11655 19425 19563 32605 45647 58275 58689 97815 136941 163025 228235 241277 293445 410823 489075 684705 723831 1141175 1206385 1467225 1688939 2054115 2171493 3423525 3619155 5066817 6031925 8444695 10270575 10857465 15200451 18095775 25334085 42223475 54287325 76002255 126670425 380011275