Search a number
-
+
57207040 = 2851117239
BaseRepresentation
bin1101101000111…
…0100100000000
310222122102022021
43122032210000
5104121111130
65402051224
71263152242
oct332164400
9128572267
1057207040
112a323550
12171a9b14
13bb0c927
147852092
15505037a
hex368e900

57207040 has 144 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 19496960.

The previous prime is 57207001. The next prime is 57207047. The reversal of 57207040 is 4070275.

It is a junction number, because it is equal to n+sod(n) for n = 57206996 and 57207014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57207047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239241 + ... + 239479.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 257207040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

57207040 is an abundant number, since it is smaller than the sum of its proper divisors (101734400).

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

57207040 is a wasteful number, since it uses less digits than its factorization.

57207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 57207040 is about 7563.5335657350. The cubic root of 57207040 is about 385.3155113091.

The spelling of 57207040 in words is "fifty-seven million, two hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 239 256 272 320 340 352 374 440 478 544 640 680 704 748 880 935 956 1088 1195 1280 1360 1408 1496 1760 1870 1912 2176 2390 2629 2720 2816 2992 3520 3740 3824 4063 4352 4780 5258 5440 5984 7040 7480 7648 8126 9560 10516 10880 11968 13145 14080 14960 15296 16252 19120 20315 21032 21760 23936 26290 29920 30592 32504 38240 40630 42064 44693 47872 52580 59840 61184 65008 76480 81260 84128 89386 105160 119680 130016 152960 162520 168256 178772 210320 223465 239360 260032 305920 325040 336512 357544 420640 446930 520064 650080 673024 715088 841280 893860 1040128 1300160 1430176 1682560 1787720 2600320 2860352 3365120 3575440 5200640 5720704 7150880 11441408 14301760 28603520 57207040