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68817696 = 25319291301
BaseRepresentation
bin1000001101000…
…01001100100000
311210111022010120
410012201030200
5120104131241
610455000240
71463640453
oct406411440
9153438116
1068817696
1135933832
121b069080
131134663c
1491d549a
156095666
hex41a1320

68817696 has 96 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 20966400.

The previous prime is 68817689. The next prime is 68817701. The reversal of 68817696 is 69671886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 52246 + ... + 53546.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 268817696 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 68817696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

68817696 is an abundant number, since it is smaller than the sum of its proper divisors (128044704).

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

68817696 is a wasteful number, since it uses less digits than its factorization.

68817696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 68817696 is about 8295.6431938699. The cubic root of 68817696 is about 409.7950512467.

The spelling of 68817696 in words is "sixty-eight million, eight hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 456 464 551 608 696 912 928 1102 1301 1392 1653 1824 2204 2602 2784 3306 3903 4408 5204 6612 7806 8816 10408 13224 15612 17632 20816 24719 26448 31224 37729 41632 49438 52896 62448 74157 75458 98876 113187 124896 148314 150916 197752 226374 296628 301832 395504 452748 593256 603664 716851 791008 905496 1186512 1207328 1433702 1810992 2150553 2373024 2867404 3621984 4301106 5734808 8602212 11469616 17204424 22939232 34408848 68817696