Search a number
-
+
114768120 = 2335956401
BaseRepresentation
bin1101101011100…
…11100011111000
321222221211021010
412311303203320
5213340034440
615215513520
72562340635
oct665634370
9258854233
10114768120
1159868a95
12325288a0
131aa1473c
141135718c
15a120580
hex6d738f8

114768120 has 32 divisors (see below), whose sum is σ = 344304720. Its totient is φ = 30604800.

The previous prime is 114768097. The next prime is 114768127. The reversal of 114768120 is 21867411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114768127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478081 + ... + 478320.

Almost surely, 2114768120 is an apocalyptic number.

114768120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114768120 is an abundant number, since it is smaller than the sum of its proper divisors (229536600).

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

114768120 is a wasteful number, since it uses less digits than its factorization.

114768120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956415 (or 956411 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 114768120 is about 10712.9883785991. The cubic root of 114768120 is about 485.9673469569.

The spelling of 114768120 in words is "one hundred fourteen million, seven hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 956401 1912802 2869203 3825604 4782005 5738406 7651208 9564010 11476812 14346015 19128020 22953624 28692030 38256040 57384060 114768120