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57053340 = 223252313781
BaseRepresentation
bin1101100110100…
…1000010011100
310222100121110200
43121221002130
5104101201330
65354503500
71261642161
oct331510234
9128317420
1057053340
112a229023
1217134b90
13ba87996
147812068
15501ea60
hex366909c

57053340 has 72 divisors (see below), whose sum is σ = 180599328. Its totient is φ = 14551680.

The previous prime is 57053323. The next prime is 57053341. The reversal of 57053340 is 4335075.

It is a happy number.

57053340 is a `hidden beast` number, since 570 + 53 + 3 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57053341) 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, 2751 + ... + 11030.

It is an arithmetic number, because the mean of its divisors is an integer number (2508324).

Almost surely, 257053340 is an apocalyptic number.

It is an amenable number.

57053340 is an abundant number, since it is smaller than the sum of its proper divisors (123545988).

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

57053340 is a wasteful number, since it uses less digits than its factorization.

57053340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13819 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 57053340 is about 7553.3661370279. The cubic root of 57053340 is about 384.9701219294.

It can be divided in two parts, 5705 and 3340, that added together give a triangular number (9045 = T134).

The spelling of 57053340 in words is "fifty-seven million, fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 13781 27562 41343 55124 68905 82686 124029 137810 165372 206715 248058 275620 316963 413430 496116 620145 633926 826860 950889 1240290 1267852 1584815 1901778 2480580 2852667 3169630 3803556 4754445 5705334 6339260 9508890 11410668 14263335 19017780 28526670 57053340