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375680000 = 21054587
BaseRepresentation
bin10110011001000…
…110110000000000
3222011220112002002
4112121012300000
51232133230000
6101140043132
712211140653
oct2631066000
9864815062
10375680000
11183074a43
12a59934a8
135caa7a77
1437c7389a
1522eac8d5
hex16646c00

375680000 has 110 divisors (see below), whose sum is σ = 940039716. Its totient is φ = 150016000.

The previous prime is 375679987. The next prime is 375680017. The reversal of 375680000 is 86573.

It is a super-2 number, since 2×3756800002 = 282270924800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639707 + ... + 640293.

Almost surely, 2375680000 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 375680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470019858).

375680000 is an abundant number, since it is smaller than the sum of its proper divisors (564359716).

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

375680000 is an frugal number, since it uses more digits than its factorization.

375680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 375680000 is about 19382.4663033371. The cubic root of 375680000 is about 721.5604018238.

The spelling of 375680000 in words is "three hundred seventy-five million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 587 625 640 800 1000 1024 1174 1250 1280 1600 2000 2348 2500 2560 2935 3200 4000 4696 5000 5120 5870 6400 8000 9392 10000 11740 12800 14675 16000 18784 20000 23480 25600 29350 32000 37568 40000 46960 58700 64000 73375 75136 80000 93920 117400 128000 146750 150272 160000 187840 234800 293500 300544 320000 366875 375680 469600 587000 601088 640000 733750 751360 939200 1174000 1467500 1502720 1878400 2348000 2935000 3005440 3756800 4696000 5870000 7513600 9392000 11740000 15027200 18784000 23480000 37568000 46960000 75136000 93920000 187840000 375680000