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68375832 = 23371931691
BaseRepresentation
bin1000001001101…
…01010100011000
311202122212000020
410010311110120
5120001011312
610441310440
71460120310
oct404652430
9152585006
1068375832
1135661858
121aa95420
1311220495
14911c440
15600978c
hex4135518

68375832 has 128 divisors (see below), whose sum is σ = 212582400. Its totient is φ = 17884800.

The previous prime is 68375831. The next prime is 68375837. The reversal of 68375832 is 23857386.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68375831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98607 + ... + 99297.

It is an arithmetic number, because the mean of its divisors is an integer number (1660800).

Almost surely, 268375832 is an apocalyptic number.

68375832 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 68375832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106291200).

68375832 is an abundant number, since it is smaller than the sum of its proper divisors (144206568).

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

68375832 is a wasteful number, since it uses less digits than its factorization.

68375832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 753 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 68375832 is about 8268.9680129990. The cubic root of 68375832 is about 408.9160979889.

The spelling of 68375832 in words is "sixty-eight million, three hundred seventy-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 56 57 62 76 84 93 114 124 133 152 168 186 217 228 248 266 372 399 434 456 532 589 651 691 744 798 868 1064 1178 1302 1382 1596 1736 1767 2073 2356 2604 2764 3192 3534 4123 4146 4712 4837 5208 5528 7068 8246 8292 9674 12369 13129 14136 14511 16492 16584 19348 21421 24738 26258 29022 32984 38696 39387 42842 49476 52516 58044 64263 78774 85684 91903 98952 105032 116088 128526 149947 157548 171368 183806 257052 275709 299894 315096 367612 406999 449841 514104 551418 599788 735224 813998 899682 1102836 1199576 1220997 1627996 1799364 2205672 2441994 2848993 3255992 3598728 4883988 5697986 8546979 9767976 11395972 17093958 22791944 34187916 68375832