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268987796 = 2271161103139
BaseRepresentation
bin10000000010000…
…110110110010100
3200202010222212222
4100002012312110
51022330102141
642405201512
76444233660
oct2002066624
9622128788
10268987796
11128922570
1276100298
134396019c
1427a1d8a0
151893514b
hex10086d94

268987796 has 96 divisors (see below), whose sum is σ = 606627840. Its totient is φ = 101347200.

The previous prime is 268987777. The next prime is 268987813. The reversal of 268987796 is 697789862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935095 + ... + 1935233.

It is an arithmetic number, because the mean of its divisors is an integer number (6319040).

Almost surely, 2268987796 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 268987796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303313920).

268987796 is an abundant number, since it is smaller than the sum of its proper divisors (337640044).

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

268987796 is a wasteful number, since it uses less digits than its factorization.

268987796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 62.

The square root of 268987796 is about 16400.8474171306. The cubic root of 268987796 is about 645.5217187824.

The spelling of 268987796 in words is "two hundred sixty-eight million, nine hundred eighty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 103 122 139 154 206 244 278 308 412 427 556 671 721 854 973 1133 1342 1442 1529 1708 1946 2266 2684 2884 3058 3892 4532 4697 6116 6283 7931 8479 9394 10703 12566 14317 15862 16958 18788 21406 25132 28634 31724 33916 42812 43981 57268 59353 69113 87962 93269 100219 118706 138226 157487 175924 186538 200438 237412 276452 314974 373076 400876 483791 629948 652883 873337 967582 1102409 1305766 1746674 1935164 2204818 2611532 3493348 4409636 6113359 9606707 12226718 19213414 24453436 38426828 67246949 134493898 268987796