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372389680 = 245132111697
BaseRepresentation
bin10110001100100…
…011011100110000
3221221201100121101
4112030203130300
51230312432210
6100541334144
712141155125
oct2614433460
9857640541
10372389680
11181227973
12a4867354
135c1c5230
143765874c
1522a5ca3a
hex16323730

372389680 has 80 divisors (see below), whose sum is σ = 937377504. Its totient is φ = 136765440.

The previous prime is 372389663. The next prime is 372389681. The reversal of 372389680 is 86983273.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 372389680.

It is not an unprimeable number, because it can be changed into a prime (372389681) 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 15 ways as a sum of consecutive naturals, for example, 218592 + ... + 220288.

Almost surely, 2372389680 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 372389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468688752).

372389680 is an abundant number, since it is smaller than the sum of its proper divisors (564987824).

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

372389680 is a wasteful number, since it uses less digits than its factorization.

372389680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 372389680 is about 19297.4008612559. The cubic root of 372389680 is about 719.4476731148.

The spelling of 372389680 in words is "three hundred seventy-two million, three hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 211 260 422 520 844 1040 1055 1688 1697 2110 2743 3376 3394 4220 5486 6788 8440 8485 10972 13576 13715 16880 16970 21944 22061 27152 27430 33940 43888 44122 54860 67880 88244 109720 110305 135760 176488 219440 220610 352976 358067 441220 716134 882440 1432268 1764880 1790335 2864536 3580670 4654871 5729072 7161340 9309742 14322680 18619484 23274355 28645360 37238968 46548710 74477936 93097420 186194840 372389680