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68101792 = 251131792
BaseRepresentation
bin1000000111100…
…10011010100000
311202010221002121
410003302122200
5114413224132
610431354024
71454566333
oct403623240
9152127077
1068101792
1135494980
121a982914
1311155825
14908a61a
155ea3497
hex40f26a0

68101792 has 72 divisors (see below), whose sum is σ = 152917632. Its totient is φ = 29577600.

The previous prime is 68101771. The next prime is 68101829. The reversal of 68101792 is 29710186.

It is a happy number.

It is a super-2 number, since 2×681017922 = 9275708147222528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862009 + ... + 862087.

It is an arithmetic number, because the mean of its divisors is an integer number (2123856).

Almost surely, 268101792 is an apocalyptic number.

68101792 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68101792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76458816).

68101792 is an abundant number, since it is smaller than the sum of its proper divisors (84815840).

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

68101792 is a wasteful number, since it uses less digits than its factorization.

68101792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 68101792 is about 8252.3809897508. The cubic root of 68101792 is about 408.3690752369.

The spelling of 68101792 in words is "sixty-eight million, one hundred one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 79 88 124 158 176 248 316 341 352 496 632 682 869 992 1264 1364 1738 2449 2528 2728 3476 4898 5456 6241 6952 9796 10912 12482 13904 19592 24964 26939 27808 39184 49928 53878 68651 78368 99856 107756 137302 193471 199712 215512 274604 386942 431024 549208 773884 862048 1098416 1547768 2128181 2196832 3095536 4256362 6191072 8512724 17025448 34050896 68101792