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100376064 = 293353137
BaseRepresentation
bin1011111101110…
…01111000000000
320222212122002000
411332321320000
5201144013224
613543224000
72326116405
oct576717000
9228778060
10100376064
1151729028
1229748000
1317a45a29
14d48c2ac
158c2b0c9
hex5fb9e00

100376064 has 160 divisors (see below), whose sum is σ = 304935840. Its totient is φ = 32587776.

The previous prime is 100376027. The next prime is 100376093. The reversal of 100376064 is 460673001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732604 + ... + 732740.

It is an arithmetic number, because the mean of its divisors is an integer number (1905849).

Almost surely, 2100376064 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 100376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152467920).

100376064 is an abundant number, since it is smaller than the sum of its proper divisors (204559776).

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

100376064 is an equidigital number, since it uses as much as digits as its factorization.

100376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 100376064 is about 10018.7855551459. The cubic root of 100376064 is about 464.7400003327.

The spelling of 100376064 in words is "one hundred million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 137 144 159 192 212 216 256 274 288 318 384 411 424 432 477 512 548 576 636 768 822 848 864 954 1096 1152 1233 1272 1431 1536 1644 1696 1728 1908 2192 2304 2466 2544 2862 3288 3392 3456 3699 3816 4384 4608 4932 5088 5724 6576 6784 6912 7261 7398 7632 8768 9864 10176 11448 13152 13568 13824 14522 14796 15264 17536 19728 20352 21783 22896 26304 27136 29044 29592 30528 35072 39456 40704 43566 45792 52608 58088 59184 61056 65349 70144 78912 81408 87132 91584 105216 116176 118368 122112 130698 157824 174264 183168 196047 210432 232352 236736 244224 261396 315648 348528 366336 392094 464704 473472 522792 631296 697056 732672 784188 929408 946944 1045584 1394112 1568376 1858816 1893888 2091168 2788224 3136752 3717632 4182336 5576448 6273504 8364672 11152896 12547008 16729344 25094016 33458688 50188032 100376064