Search a number
-
+
117201840 = 2435769763
BaseRepresentation
bin1101111110001…
…01101110110000
322011112110200220
412333011232300
5220000424330
615344013040
72622125220
oct677055660
9264473626
10117201840
1160180528
1233301180
131b387402
14117cc080
15a451710
hex6fc5bb0

117201840 has 80 divisors (see below), whose sum is σ = 415235328. Its totient is φ = 26788608.

The previous prime is 117201797. The next prime is 117201841. The reversal of 117201840 is 48102711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117201840.

It is not an unprimeable number, because it can be changed into a prime (117201841) 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, 33202 + ... + 36561.

Almost surely, 2117201840 is an apocalyptic number.

117201840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117201840 is an abundant number, since it is smaller than the sum of its proper divisors (298033488).

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

117201840 is a wasteful number, since it uses less digits than its factorization.

117201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69786 (or 69780 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 117201840 is about 10825.9798632733. The cubic root of 117201840 is about 489.3784149371.

The spelling of 117201840 in words is "one hundred seventeen million, two hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 69763 139526 209289 279052 348815 418578 488341 558104 697630 837156 976682 1046445 1116208 1395260 1465023 1674312 1953364 2092890 2441705 2790520 2930046 3348624 3906728 4185780 4883410 5581040 5860092 7325115 7813456 8371560 9766820 11720184 14650230 16743120 19533640 23440368 29300460 39067280 58600920 117201840