Search a number
-
+
114545720 = 2355371761
BaseRepresentation
bin1101101001111…
…01010000111000
321222112112012002
412310331100320
5213310430340
615211040132
72560423352
oct664752070
9258475162
10114545720
1159726993
1232440048
131a967443
14112da0d2
15a0c9715
hex6d3d438

114545720 has 64 divisors (see below), whose sum is σ = 266639040. Its totient is φ = 44262400.

The previous prime is 114545707. The next prime is 114545723. The reversal of 114545720 is 27545411.

114545720 = 12352 + 12362 + ... + 13052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114545723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150140 + ... + 150900.

It is an arithmetic number, because the mean of its divisors is an integer number (4166235).

Almost surely, 2114545720 is an apocalyptic number.

114545720 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 114545720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133319520).

114545720 is an abundant number, since it is smaller than the sum of its proper divisors (152093320).

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

114545720 is a wasteful number, since it uses less digits than its factorization.

114545720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 114545720 is about 10702.6034215979. The cubic root of 114545720 is about 485.6532381670.

The spelling of 114545720 in words is "one hundred fourteen million, five hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 71 106 142 212 265 284 355 424 530 568 710 761 1060 1420 1522 2120 2840 3044 3763 3805 6088 7526 7610 15052 15220 18815 30104 30440 37630 40333 54031 75260 80666 108062 150520 161332 201665 216124 270155 322664 403330 432248 540310 806660 1080620 1613320 2161240 2863643 5727286 11454572 14318215 22909144 28636430 57272860 114545720