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1374184900 = 22521123372
BaseRepresentation
bin101000111101000…
…0110010111000100
310112202202211022001
41101322012113010
510303242404100
6344205315044
746024243654
oct12172062704
93482684261
101374184900
11645767500
12324265a84
1318b91057a
14d0712364
1580995d6a
hex51e865c4

1374184900 has 81 divisors (see below), whose sum is σ = 3287469927. Its totient is φ = 498220800.

The previous prime is 1374184883. The next prime is 1374184913. The reversal of 1374184900 is 94814731.

The square root of 1374184900 is 37070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 190274436 + 1183910464 = 13794^2 + 34408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1374184900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4077532 + ... + 4077868.

Almost surely, 21374184900 is an apocalyptic number.

1374184900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1374184900 is the 37070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374184900

1374184900 is an abundant number, since it is smaller than the sum of its proper divisors (1913285027).

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

1374184900 is a wasteful number, since it uses less digits than its factorization.

1374184900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The cubic root of 1374184900 is about 1111.7702726189.

The spelling of 1374184900 in words is "one billion, three hundred seventy-four million, one hundred eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 337 484 550 605 674 1100 1210 1348 1685 2420 3025 3370 3707 6050 6740 7414 8425 12100 14828 16850 18535 33700 37070 40777 74140 81554 92675 113569 163108 185350 203885 227138 370700 407770 454276 567845 815540 1019425 1135690 1249259 2038850 2271380 2498518 2839225 4077700 4997036 5678450 6246295 11356900 12492590 13741849 24985180 27483698 31231475 54967396 62462950 68709245 124925900 137418490 274836980 343546225 687092450 1374184900