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116312460 = 223511237433
BaseRepresentation
bin1101110111011…
…00100110001100
322002212021200220
412323230212030
5214233444320
615312551340
72611432245
oct673544614
9262767626
10116312460
115a723300
1232b52550
131b135654
1411639ccc
15a327e40
hex6eec98c

116312460 has 144 divisors (see below), whose sum is σ = 368497248. Its totient is φ = 27371520.

The previous prime is 116312437. The next prime is 116312461. The reversal of 116312460 is 64213611.

It is a self number, because there is not a number n which added to its sum of digits gives 116312460.

It is not an unprimeable number, because it can be changed into a prime (116312461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268404 + ... + 268836.

Almost surely, 2116312460 is an apocalyptic number.

116312460 is a gapful number since it is divisible by the number (10) 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 116312460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184248624).

116312460 is an abundant number, since it is smaller than the sum of its proper divisors (252184788).

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

116312460 is a wasteful number, since it uses less digits than its factorization.

116312460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 116312460 is about 10784.8254506042. The cubic root of 116312460 is about 488.1373963657.

The spelling of 116312460 in words is "one hundred sixteen million, three hundred twelve thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 121 132 148 165 185 220 222 242 330 363 370 407 433 444 484 555 605 660 726 740 814 866 1110 1210 1221 1299 1452 1628 1732 1815 2035 2165 2220 2420 2442 2598 3630 4070 4330 4477 4763 4884 5196 6105 6495 7260 8140 8660 8954 9526 12210 12990 13431 14289 16021 17908 19052 22385 23815 24420 25980 26862 28578 32042 44770 47630 48063 52393 53724 57156 64084 67155 71445 80105 89540 95260 96126 104786 134310 142890 157179 160210 176231 192252 209572 240315 261965 268620 285780 314358 320420 352462 480630 523930 528693 628716 704924 785895 881155 961260 1047860 1057386 1571790 1762310 1938541 2114772 2643465 3143580 3524620 3877082 5286930 5815623 7754164 9692705 10573860 11631246 19385410 23262492 29078115 38770820 58156230 116312460