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121930688 = 26113137151
BaseRepresentation
bin1110100010010…
…00001111000000
322111102201110102
413101020033000
5222203240223
620033221532
73010252025
oct721101700
9274381412
10121930688
1162910370
1234a018a8
131c351949
141229d54c
15aa87928
hex74483c0

121930688 has 112 divisors (see below), whose sum is σ = 281683968. Its totient is φ = 51840000.

The previous prime is 121930667. The next prime is 121930693. The reversal of 121930688 is 886039121.

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, 807413 + ... + 807563.

Almost surely, 2121930688 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 121930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140841984).

121930688 is an abundant number, since it is smaller than the sum of its proper divisors (159753280).

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

121930688 is a wasteful number, since it uses less digits than its factorization.

121930688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 121930688 is about 11042.2229646027. Note that the first 3 decimals coincide. The cubic root of 121930688 is about 495.8736237172.

The spelling of 121930688 in words is "one hundred twenty-one million, nine hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 64 74 88 124 148 151 176 248 296 302 341 352 407 496 592 604 682 704 814 992 1147 1184 1208 1364 1628 1661 1984 2294 2368 2416 2728 3256 3322 4588 4681 4832 5456 5587 6512 6644 9176 9362 9664 10912 11174 12617 13024 13288 18352 18724 21824 22348 25234 26048 26576 36704 37448 44696 50468 51491 53152 61457 73408 74896 89392 100936 102982 106304 122914 149792 173197 178784 201872 205964 245828 299584 346394 357568 403744 411928 491656 692788 807488 823856 983312 1385576 1647712 1905167 1966624 2771152 3295424 3810334 3933248 5542304 7620668 11084608 15241336 30482672 60965344 121930688