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108114540 = 22354171619
BaseRepresentation
bin1100111000110…
…11001001101100
321112102210021020
412130123021230
5210134131130
614421134140
72451646512
oct634331154
9245383236
10108114540
1156034066
123025a350
1319525101
14105044b2
159758e10
hex671b26c

108114540 has 96 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 27686400.

The previous prime is 108114527. The next prime is 108114553. The reversal of 108114540 is 45411801.

It is an interprime number because it is at equal distance from previous prime (108114527) and next prime (108114553).

It is a self number, because there is not a number n which added to its sum of digits gives 108114540.

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, 174351 + ... + 174969.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2108114540 is an apocalyptic number.

108114540 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 108114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

108114540 is an abundant number, since it is smaller than the sum of its proper divisors (206865300).

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

108114540 is a wasteful number, since it uses less digits than its factorization.

108114540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 108114540 is about 10397.8141933774. The cubic root of 108114540 is about 476.3886088102.

It can be divided in two parts, 1081145 and 40, that added together give a triangular number (1081185 = T1470).

The spelling of 108114540 in words is "one hundred eight million, one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 71 82 123 142 164 205 213 246 284 355 410 426 492 615 619 710 820 852 1065 1230 1238 1420 1857 2130 2460 2476 2911 3095 3714 4260 5822 6190 7428 8733 9285 11644 12380 14555 17466 18570 25379 29110 34932 37140 43665 43949 50758 58220 76137 87330 87898 101516 126895 131847 152274 174660 175796 219745 253790 263694 304548 380685 439490 507580 527388 659235 761370 878980 1318470 1522740 1801909 2636940 3603818 5405727 7207636 9009545 10811454 18019090 21622908 27028635 36038180 54057270 108114540