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120263248 = 2472211727
BaseRepresentation
bin1110010101100…
…01001001010000
322101022000011101
413022301021100
5221241410443
615533354144
72660135500
oct712611120
9271260141
10120263248
1161981616
1234338954
131bbb99b1
1411d87a00
15a85884d
hex72b1250

120263248 has 60 divisors (see below), whose sum is σ = 272711712. Its totient is φ = 51226560.

The previous prime is 120263239. The next prime is 120263249. The reversal of 120263248 is 842362021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120263249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165061 + ... + 165787.

Almost surely, 2120263248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120263248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136355856).

120263248 is an abundant number, since it is smaller than the sum of its proper divisors (152448464).

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

120263248 is a wasteful number, since it uses less digits than its factorization.

120263248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 120263248 is about 10966.4601398993. The cubic root of 120263248 is about 493.6028322169.

The spelling of 120263248 in words is "one hundred twenty million, two hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 211 392 422 727 784 844 1454 1477 1688 2908 2954 3376 5089 5816 5908 10178 10339 11632 11816 20356 20678 23632 35623 40712 41356 71246 81424 82712 142492 153397 165424 284984 306794 569968 613588 1073779 1227176 2147558 2454352 4295116 7516453 8590232 15032906 17180464 30065812 60131624 120263248