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115379320 = 2357237243
BaseRepresentation
bin1101110000010…
…00110001111000
322001002212200011
412320020301320
5214014114240
615240551304
72600464600
oct670106170
9261085604
10115379320
115a146211
1232782534
131ab999b4
1411475c00
15a1e16ea
hex6e08c78

115379320 has 144 divisors (see below), whose sum is σ = 317588040. Its totient is φ = 37594368.

The previous prime is 115379317. The next prime is 115379321. The reversal of 115379320 is 23973511.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115379321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2683219 + ... + 2683261.

Almost surely, 2115379320 is an apocalyptic number.

115379320 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 115379320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158794020).

115379320 is an abundant number, since it is smaller than the sum of its proper divisors (202208720).

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

115379320 is a wasteful number, since it uses less digits than its factorization.

115379320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 115379320 is about 10741.4766210238. The cubic root of 115379320 is about 486.8284964617.

The spelling of 115379320 in words is "one hundred fifteen million, three hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 43 49 56 70 74 86 98 140 148 172 185 196 215 245 259 280 296 301 344 370 392 430 490 518 602 740 860 980 1036 1204 1295 1369 1480 1505 1591 1720 1813 1960 2072 2107 2408 2590 2738 3010 3182 3626 4214 5180 5476 6020 6364 6845 7252 7955 8428 9065 9583 10360 10535 10952 11137 12040 12728 13690 14504 15910 16856 18130 19166 21070 22274 27380 31820 36260 38332 42140 44548 47915 54760 55685 58867 63640 67081 72520 76664 77959 84280 89096 95830 111370 117734 134162 155918 191660 222740 235468 268324 294335 311836 335405 383320 389795 412069 445480 470936 536648 588670 623672 670810 779590 824138 1177340 1341620 1559180 1648276 2060345 2354680 2683240 2884483 3118360 3296552 4120690 5768966 8241380 11537932 14422415 16482760 23075864 28844830 57689660 115379320