Search a number
-
+
117963776 = 210722351
BaseRepresentation
bin1110000011111…
…11110000000000
322012222011212202
413001333300000
5220144320101
615412212332
72631450500
oct701776000
9265864782
10117963776
1160650a27
123360a0a8
131b593168
1411949a00
15a55236b
hex707fc00

117963776 has 66 divisors (see below), whose sum is σ = 274429008. Its totient is φ = 50534400.

The previous prime is 117963719. The next prime is 117963787. The reversal of 117963776 is 677369711.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 117963776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49001 + ... + 51351.

Almost surely, 2117963776 is an apocalyptic number.

117963776 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 117963776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214504).

117963776 is an abundant number, since it is smaller than the sum of its proper divisors (156465232).

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

117963776 is an equidigital number, since it uses as much as digits as its factorization.

117963776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2360 counting only the distinct ones).

The product of its digits is 333396, while the sum is 47.

The square root of 117963776 is about 10861.1130184710. The cubic root of 117963776 is about 490.4366176362.

The spelling of 117963776 in words is "one hundred seventeen million, nine hundred sixty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2351 3136 3584 4702 6272 7168 9404 12544 16457 18808 25088 32914 37616 50176 65828 75232 115199 131656 150464 230398 263312 300928 460796 526624 601856 921592 1053248 1203712 1843184 2106496 2407424 3686368 4212992 7372736 8425984 14745472 16851968 29490944 58981888 117963776