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2380752 = 243411167
BaseRepresentation
bin1001000101001111010000
311110221210000
421011033100
51102141002
6123010000
726143653
oct11051720
94427700
102380752
111386770
12969900
1365483a
1445d89a
1532061c
hex2453d0

2380752 has 100 divisors (see below), whose sum is σ = 7562016. Its totient is φ = 717120.

The previous prime is 2380751. The next prime is 2380759. The reversal of 2380752 is 2570832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14173 + ... + 14339.

22380752 is an apocalyptic number.

2380752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2380752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008).

2380752 is an abundant number, since it is smaller than the sum of its proper divisors (5181264).

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

2380752 is a wasteful number, since it uses less digits than its factorization.

2380752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2380752 is about 1542.9685674051. The cubic root of 2380752 is about 133.5277053975.

The spelling of 2380752 in words is "two million, three hundred eighty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 167 176 198 216 264 297 324 334 396 432 501 528 594 648 668 792 891 1002 1188 1296 1336 1503 1584 1782 1837 2004 2376 2672 3006 3564 3674 4008 4509 4752 5511 6012 7128 7348 8016 9018 11022 12024 13527 14256 14696 16533 18036 22044 24048 27054 29392 33066 36072 44088 49599 54108 66132 72144 88176 99198 108216 132264 148797 198396 216432 264528 297594 396792 595188 793584 1190376 2380752