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117457340 = 225711135867
BaseRepresentation
bin1110000000001…
…00000110111100
322012000110011212
413000010012330
5220032113330
615353303552
72624241140
oct700040674
9265013155
10117457340
1160335490
1233404bb8
131b4467b0
1411857220
15a4a2295
hex70041bc

117457340 has 96 divisors (see below), whose sum is σ = 331236864. Its totient is φ = 33788160.

The previous prime is 117457339. The next prime is 117457393. The reversal of 117457340 is 43754711.

It is a junction number, because it is equal to n+sod(n) for n = 117457297 and 117457306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17087 + ... + 22953.

It is an arithmetic number, because the mean of its divisors is an integer number (3450384).

Almost surely, 2117457340 is an apocalyptic number.

117457340 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 117457340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165618432).

117457340 is an abundant number, since it is smaller than the sum of its proper divisors (213779524).

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

117457340 is a wasteful number, since it uses less digits than its factorization.

117457340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 117457340 is about 10837.7737566347. The cubic root of 117457340 is about 489.7337718020.

The spelling of 117457340 in words is "one hundred seventeen million, four hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 5867 10010 11734 20020 23468 29335 41069 58670 64537 76271 82138 117340 129074 152542 164276 205345 258148 305084 322685 381355 410690 451759 533897 645370 762710 821380 838981 903518 1067794 1290740 1525420 1677962 1807036 2135588 2258795 2669485 3355924 4194905 4517590 5338970 5872867 8389810 9035180 10677940 11745734 16779620 23491468 29364335 58728670 117457340