Search a number
-
+
96357240 = 23325738237
BaseRepresentation
bin1011011111001…
…00101101111000
320201022110021200
411233210231320
5144131412430
613321134200
72250010620
oct557445570
9221273250
1096357240
114a433691
122832a360
1316c69725
14cb23880
1586d5460
hex5be4b78

96357240 has 96 divisors (see below), whose sum is σ = 357907680. Its totient is φ = 22023936.

The previous prime is 96357229. The next prime is 96357253. The reversal of 96357240 is 4275369.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 96357195 and 96357204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16599 + ... + 21638.

It is an arithmetic number, because the mean of its divisors is an integer number (3728205).

Almost surely, 296357240 is an apocalyptic number.

96357240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96357240 is an abundant number, since it is smaller than the sum of its proper divisors (261550440).

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

96357240 is a wasteful number, since it uses less digits than its factorization.

96357240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38261 (or 38254 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 96357240 is about 9816.1723701247. The cubic root of 96357240 is about 458.4529630060.

The spelling of 96357240 in words is "ninety-six million, three hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 38237 76474 114711 152948 191185 229422 267659 305896 344133 382370 458844 535318 573555 688266 764740 802977 917688 1070636 1147110 1338295 1376532 1529480 1605954 1720665 2141272 2294220 2408931 2676590 2753064 3211908 3441330 4014885 4588440 4817862 5353180 6423816 6882660 8029770 9635724 10706360 12044655 13765320 16059540 19271448 24089310 32119080 48178620 96357240