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68770032 = 24317711187
BaseRepresentation
bin1000001100101…
…01100011110000
311210101212202020
410012111203300
5120101120112
610453551440
71463351502
oct406254360
9153355666
1068770032
1135900a41
121b045580
131132aa36
1491c1d72
15608648c
hex41958f0

68770032 has 80 divisors (see below), whose sum is σ = 190916352. Its totient is φ = 21253120.

The previous prime is 68770019. The next prime is 68770043. The reversal of 68770032 is 23007786.

It is a junction number, because it is equal to n+sod(n) for n = 68769975 and 68770002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57343 + ... + 58529.

Almost surely, 268770032 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 68770032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95458176).

68770032 is an abundant number, since it is smaller than the sum of its proper divisors (122146320).

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

68770032 is a wasteful number, since it uses less digits than its factorization.

68770032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 68770032 is about 8292.7698629589. The cubic root of 68770032 is about 409.7004196637.

The spelling of 68770032 in words is "sixty-eight million, seven hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 136 142 204 213 272 284 408 426 568 816 852 1136 1187 1207 1704 2374 2414 3408 3561 3621 4748 4828 7122 7242 9496 9656 14244 14484 18992 19312 20179 28488 28968 40358 56976 57936 60537 80716 84277 121074 161432 168554 242148 252831 322864 337108 484296 505662 674216 968592 1011324 1348432 1432709 2022648 2865418 4045296 4298127 5730836 8596254 11461672 17192508 22923344 34385016 68770032