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114794496 = 21334173
BaseRepresentation
bin1101101011110…
…10000000000000
322000000011110000
412311322000000
5213341410441
615220240000
72562510555
oct665720000
9260004400
10114794496
1159886893
1232540000
131aa2374b
1411362a2c
15a1282b6
hex6d7a000

114794496 has 140 divisors (see below), whose sum is σ = 344927682. Its totient is φ = 38043648.

The previous prime is 114794453. The next prime is 114794507. The reversal of 114794496 is 694497411.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 40144896 = 8640^2 + 6336^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663466 + ... + 663638.

Almost surely, 2114794496 is an apocalyptic number.

114794496 is a gapful number since it is divisible by the number (16) 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 114794496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172463841).

114794496 is an abundant number, since it is smaller than the sum of its proper divisors (230133186).

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

114794496 is an frugal number, since it uses more digits than its factorization.

114794496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 178 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 114794496 is about 10714.2193369372. The cubic root of 114794496 is about 486.0045724307.

The spelling of 114794496 in words is "one hundred fourteen million, seven hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 173 192 216 256 288 324 346 384 432 512 519 576 648 692 768 864 1024 1038 1152 1296 1384 1536 1557 1728 2048 2076 2304 2592 2768 3072 3114 3456 4096 4152 4608 4671 5184 5536 6144 6228 6912 8192 8304 9216 9342 10368 11072 12288 12456 13824 14013 16608 18432 18684 20736 22144 24576 24912 27648 28026 33216 36864 37368 41472 44288 49824 55296 56052 66432 73728 74736 82944 88576 99648 110592 112104 132864 149472 165888 177152 199296 221184 224208 265728 298944 331776 354304 398592 448416 531456 597888 663552 708608 797184 896832 1062912 1195776 1417216 1594368 1793664 2125824 2391552 3188736 3587328 4251648 4783104 6377472 7174656 9566208 12754944 14349312 19132416 28698624 38264832 57397248 114794496