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5692400 = 2452719107
BaseRepresentation
bin10101101101101111110000
3101201012111122
4111231233300
52424124100
6322001412
766245630
oct25555760
911635448
105692400
11323886a
121aa6268
131243cac
14a826c0
15776985
hex56dbf0

5692400 has 120 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 1831680.

The previous prime is 5692397. The next prime is 5692403. The reversal of 5692400 is 42965.

It is an interprime number because it is at equal distance from previous prime (5692397) and next prime (5692403).

It is a self number, because there is not a number n which added to its sum of digits gives 5692400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5692403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53147 + ... + 53253.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 25692400 is an apocalyptic number.

5692400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5692400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

5692400 is an abundant number, since it is smaller than the sum of its proper divisors (10913680).

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

5692400 is a wasteful number, since it uses less digits than its factorization.

5692400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5692400 is about 2385.8751015089. The cubic root of 5692400 is about 178.5521716377.

The spelling of 5692400 in words is "five million, six hundred ninety-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 107 112 133 140 152 175 190 200 214 266 280 304 350 380 400 428 475 532 535 560 665 700 749 760 856 950 1064 1070 1330 1400 1498 1520 1712 1900 2033 2128 2140 2660 2675 2800 2996 3325 3745 3800 4066 4280 5320 5350 5992 6650 7490 7600 8132 8560 10165 10640 10700 11984 13300 14231 14980 16264 18725 20330 21400 26600 28462 29960 32528 37450 40660 42800 50825 53200 56924 59920 71155 74900 81320 101650 113848 142310 149800 162640 203300 227696 284620 299600 355775 406600 569240 711550 813200 1138480 1423100 2846200 5692400