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114426720 = 25325229347
BaseRepresentation
bin1101101001000…
…00001101100000
321222022110221200
412310200031200
5213243123340
615204321200
72556416412
oct664401540
9258273850
10114426720
1159655541
12323a3200
131a925225
14112a89b2
15a0a4330
hex6d20360

114426720 has 144 divisors (see below), whose sum is σ = 393316560. Its totient is φ = 30292992.

The previous prime is 114426707. The next prime is 114426727. The reversal of 114426720 is 27624411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114426727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329587 + ... + 329933.

It is an arithmetic number, because the mean of its divisors is an integer number (2731365).

Almost surely, 2114426720 is an apocalyptic number.

114426720 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 114426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196658280).

114426720 is an abundant number, since it is smaller than the sum of its proper divisors (278889840).

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

114426720 is a wasteful number, since it uses less digits than its factorization.

114426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 114426720 is about 10697.0425819476. The cubic root of 114426720 is about 485.4850003656.

The spelling of 114426720 in words is "one hundred fourteen million, four hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 229 240 288 347 360 458 480 687 694 720 916 1041 1145 1374 1388 1440 1735 1832 2061 2082 2290 2748 2776 3123 3435 3470 3664 4122 4164 4580 5205 5496 5552 6246 6870 6940 7328 8244 8328 9160 10305 10410 10992 11104 12492 13740 13880 15615 16488 16656 18320 20610 20820 21984 24984 27480 27760 31230 32976 33312 36640 41220 41640 49968 54960 55520 62460 65952 79463 82440 83280 99936 109920 124920 158926 164880 166560 238389 249840 317852 329760 397315 476778 499680 635704 715167 794630 953556 1191945 1271408 1430334 1589260 1907112 2383890 2542816 2860668 3178520 3575835 3814224 4767780 5721336 6357040 7151670 7628448 9535560 11442672 12714080 14303340 19071120 22885344 28606680 38142240 57213360 114426720