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54701400 = 23352137013
BaseRepresentation
bin1101000010101…
…0110101011000
310210221010012210
43100222311120
5103000421100
65232235120
71232645205
oct320526530
9123833183
1054701400
1128971a76
121639baa0
13b4432c0
14739ccac
154c07c50
hex342ad58

54701400 has 96 divisors (see below), whose sum is σ = 182644560. Its totient is φ = 13463040.

The previous prime is 54701363. The next prime is 54701401. The reversal of 54701400 is 410745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54701401) 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, 4294 + ... + 11306.

Almost surely, 254701400 is an apocalyptic number.

54701400 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 54701400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91322280).

54701400 is an abundant number, since it is smaller than the sum of its proper divisors (127943160).

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

54701400 is a wasteful number, since it uses less digits than its factorization.

54701400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 54701400 is about 7396.0394806951. The cubic root of 54701400 is about 379.6057776834.

The spelling of 54701400 in words is "fifty-four million, seven hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7013 7800 14026 21039 28052 35065 42078 56104 70130 84156 91169 105195 140260 168312 175325 182338 210390 273507 280520 350650 364676 420780 455845 525975 547014 701300 729352 841560 911690 1051950 1094028 1367535 1402600 1823380 2103900 2188056 2279225 2735070 3646760 4207800 4558450 5470140 6837675 9116900 10940280 13675350 18233800 27350700 54701400