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120397248 = 2632434861
BaseRepresentation
bin1110010110100…
…01110111000000
322101112210222100
413023101313000
5221310202443
615540310400
72661234246
oct713216700
9271483870
10120397248
1161a63264
12343a2400
131bc3599a
1411dc0796
15a8833d3
hex72d1dc0

120397248 has 84 divisors (see below), whose sum is σ = 353195128. Its totient is φ = 39191040.

The previous prime is 120397201. The next prime is 120397289. The reversal of 120397248 is 842793021.

120397248 is a `hidden beast` number, since 1 + 20 + 397 + 248 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22338 + ... + 27198.

Almost surely, 2120397248 is an apocalyptic number.

120397248 is a gapful number since it is divisible by the number (18) 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 120397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176597564).

120397248 is an abundant number, since it is smaller than the sum of its proper divisors (232797880).

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

120397248 is a wasteful number, since it uses less digits than its factorization.

120397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 120397248 is about 10972.5679765495. The cubic root of 120397248 is about 493.7860919406.

The spelling of 120397248 in words is "one hundred twenty million, three hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 4861 6192 8256 9722 12384 14583 19444 24768 29166 38888 43749 58332 77776 87498 116664 155552 174996 209023 233328 311104 349992 418046 466656 627069 699984 836092 933312 1254138 1399968 1672184 1881207 2508276 2799936 3344368 3762414 5016552 6688736 7524828 10033104 13377472 15049656 20066208 30099312 40132416 60198624 120397248