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53076100 = 225271161113
BaseRepresentation
bin1100101001111…
…0000010000100
310200212112201111
43022132002010
5102041413400
65133334404
71213065550
oct312360204
9120775644
1053076100
1127a61950
1215937404
13acc459c
147098860
1549d63ba
hex329e084

53076100 has 144 divisors (see below), whose sum is σ = 147240576. Its totient is φ = 16128000.

The previous prime is 53076097. The next prime is 53076103. The reversal of 53076100 is 167035.

It is an interprime number because it is at equal distance from previous prime (53076097) and next prime (53076103).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53076103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469644 + ... + 469756.

It is an arithmetic number, because the mean of its divisors is an integer number (1022504).

Almost surely, 253076100 is an apocalyptic number.

53076100 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 53076100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73620288).

53076100 is an abundant number, since it is smaller than the sum of its proper divisors (94164476).

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

53076100 is a wasteful number, since it uses less digits than its factorization.

53076100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 53076100 is about 7285.3345839433. The cubic root of 53076100 is about 375.8082714226.

The spelling of 53076100 in words is "fifty-three million, seventy-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 61 70 77 100 110 113 122 140 154 175 220 226 244 275 305 308 350 385 427 452 550 565 610 671 700 770 791 854 1100 1130 1220 1243 1342 1525 1540 1582 1708 1925 2135 2260 2486 2684 2825 3050 3164 3355 3850 3955 4270 4697 4972 5650 6100 6215 6710 6893 7700 7910 8540 8701 9394 10675 11300 12430 13420 13786 15820 16775 17402 18788 19775 21350 23485 24860 27572 31075 33550 34465 34804 39550 42700 43505 46970 48251 62150 67100 68930 75823 79100 87010 93940 96502 117425 124300 137860 151646 172325 174020 193004 217525 234850 241255 303292 344650 379115 435050 469700 482510 530761 689300 758230 870100 965020 1061522 1206275 1516460 1895575 2123044 2412550 2653805 3791150 4825100 5307610 7582300 10615220 13269025 26538050 53076100