Search a number
-
+
114973760 = 2651189367
BaseRepresentation
bin1101101101001…
…01110001000000
322000100021100102
412312211301000
5213413130020
615224141532
72564155316
oct666456100
9260307312
10114973760
1159999540
12326078a8
131aa87215
14113ac0b6
15a161475
hex6da5c40

114973760 has 112 divisors (see below), whose sum is σ = 302849280. Its totient is φ = 41226240.

The previous prime is 114973751. The next prime is 114973783. The reversal of 114973760 is 67379411.

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, 313097 + ... + 313463.

Almost surely, 2114973760 is an apocalyptic number.

114973760 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 114973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151424640).

114973760 is an abundant number, since it is smaller than the sum of its proper divisors (187875520).

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

114973760 is a wasteful number, since it uses less digits than its factorization.

114973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 114973760 is about 10722.5817786576. The cubic root of 114973760 is about 486.2574237296.

The spelling of 114973760 in words is "one hundred fourteen million, nine hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 89 110 160 176 178 220 320 352 356 367 440 445 704 712 734 880 890 979 1424 1468 1760 1780 1835 1958 2848 2936 3520 3560 3670 3916 4037 4895 5696 5872 7120 7340 7832 8074 9790 11744 14240 14680 15664 16148 19580 20185 23488 28480 29360 31328 32296 32663 39160 40370 58720 62656 64592 65326 78320 80740 117440 129184 130652 156640 161480 163315 258368 261304 313280 322960 326630 359293 522608 645920 653260 718586 1045216 1291840 1306520 1437172 1796465 2090432 2613040 2874344 3592930 5226080 5748688 7185860 10452160 11497376 14371720 22994752 28743440 57486880 114973760