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375056680 = 23589137769
BaseRepresentation
bin10110010110101…
…110100100101000
3222010201212001011
4112112232210220
51232003303210
6101114433304
712202633465
oct2626564450
9863655034
10375056680
111827896a9
12a5732834
135c91a13b
1437b5066c
1522dd7d8a
hex165ae928

375056680 has 64 divisors (see below), whose sum is σ = 860706000. Its totient is φ = 147062784.

The previous prime is 375056659. The next prime is 375056711. The reversal of 375056680 is 86650573.

375056680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 98366724 + 276689956 = 9918^2 + 16634^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 487336 + ... + 488104.

Almost surely, 2375056680 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 375056680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430353000).

375056680 is an abundant number, since it is smaller than the sum of its proper divisors (485649320).

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

375056680 is a wasteful number, since it uses less digits than its factorization.

375056680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 375056680 is about 19366.3801470486. The cubic root of 375056680 is about 721.1611151926.

The spelling of 375056680 in words is "three hundred seventy-five million, fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 137 178 274 356 445 548 685 712 769 890 1096 1370 1538 1780 2740 3076 3560 3845 5480 6152 7690 12193 15380 24386 30760 48772 60965 68441 97544 105353 121930 136882 210706 243860 273764 342205 421412 487720 526765 547528 684410 842824 1053530 1368820 2107060 2737640 4214120 9376417 18752834 37505668 46882085 75011336 93764170 187528340 375056680