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60631072 = 256189349
BaseRepresentation
bin1110011101001…
…0100000100000
311020002101012021
43213102200200
5111010143242
610003311224
71334232655
oct347224040
9136071167
1060631072
1131252027
121837b514
13c73b298
1480a3c2c
1554c9b67
hex39d2820

60631072 has 48 divisors (see below), whose sum is σ = 123039000. Its totient is φ = 29399040.

The previous prime is 60631063. The next prime is 60631091. The reversal of 60631072 is 27013606.

It can be written as a sum of positive squares in 4 ways, for example, as 33131536 + 27499536 = 5756^2 + 5244^2 .

It is a super-2 number, since 2×606310722 = 7352253783738368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173554 + ... + 173902.

Almost surely, 260631072 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 60631072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61519500).

60631072 is an abundant number, since it is smaller than the sum of its proper divisors (62407928).

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

60631072 is a wasteful number, since it uses less digits than its factorization.

60631072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 60631072 is about 7786.5956617767. The cubic root of 60631072 is about 392.8545151875.

Adding to 60631072 its reverse (27013606), we get a palindrome (87644678).

The spelling of 60631072 in words is "sixty million, six hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 61 89 122 178 244 349 356 488 698 712 976 1396 1424 1952 2792 2848 5429 5584 10858 11168 21289 21716 31061 42578 43432 62122 85156 86864 124244 170312 173728 248488 340624 496976 681248 993952 1894721 3789442 7578884 15157768 30315536 60631072