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114535740 = 223511173539
BaseRepresentation
bin1101101001110…
…10110100111100
321222112000111110
412310322310330
5213310120430
615210522020
72560352304
oct664726474
9258460443
10114535740
115971a440
1232436310
131a962a37
14112d6604
15a0c67b0
hex6d3ad3c

114535740 has 48 divisors (see below), whose sum is σ = 349856640. Its totient is φ = 27766080.

The previous prime is 114535723. The next prime is 114535741. The reversal of 114535740 is 47535411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114535698 and 114535707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114535741) 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, 86110 + ... + 87429.

It is an arithmetic number, because the mean of its divisors is an integer number (7288680).

Almost surely, 2114535740 is an apocalyptic number.

114535740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114535740 is an abundant number, since it is smaller than the sum of its proper divisors (235320900).

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

114535740 is a wasteful number, since it uses less digits than its factorization.

114535740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173562 (or 173560 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 114535740 is about 10702.1371697432. The cubic root of 114535740 is about 485.6391332894.

The spelling of 114535740 in words is "one hundred fourteen million, five hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 173539 347078 520617 694156 867695 1041234 1735390 1908929 2082468 2603085 3470780 3817858 5206170 5726787 7635716 9544645 10412340 11453574 19089290 22907148 28633935 38178580 57267870 114535740