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71425120 = 25513231493
BaseRepresentation
bin1000100000111…
…01110001100000
311222101202211211
410100131301200
5121241100440
611030515504
71525050334
oct420356140
9158352754
1071425120
1137354828
121bb05b94
1311a4a3b0
1496b37c4
15640ceea
hex441dc60

71425120 has 96 divisors (see below), whose sum is σ = 189749952. Its totient is φ = 25208832.

The previous prime is 71425103. The next prime is 71425163. The reversal of 71425120 is 2152417.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71425091 and 71425100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47094 + ... + 48586.

It is an arithmetic number, because the mean of its divisors is an integer number (1976562).

Almost surely, 271425120 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 71425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94874976).

71425120 is an abundant number, since it is smaller than the sum of its proper divisors (118324832).

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

71425120 is a wasteful number, since it uses less digits than its factorization.

71425120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 71425120 is about 8451.3383555506. The cubic root of 71425120 is about 414.9065837058.

Adding to 71425120 its reverse (2152417), we get a palindrome (73577537).

The spelling of 71425120 in words is "seventy-one million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1493 1495 1840 2080 2392 2986 2990 3680 4784 5972 5980 7465 9568 11944 11960 14930 19409 23888 23920 29860 34339 38818 47776 47840 59720 68678 77636 97045 119440 137356 155272 171695 194090 238880 274712 310544 343390 388180 446407 549424 621088 686780 776360 892814 1098848 1373560 1552720 1785628 2232035 2747120 3105440 3571256 4464070 5494240 7142512 8928140 14285024 17856280 35712560 71425120