Search a number
-
+
120263052 = 223721315733
BaseRepresentation
bin1110010101100…
…01000110001100
322101021222220010
413022301012030
5221241404202
615533353220
72660135100
oct712610614
9271258803
10120263052
1161981458
1234338810
131bbb9890
1411d87900
15a85876c
hex72b118c

120263052 has 72 divisors (see below), whose sum is σ = 351560496. Its totient is φ = 31715712.

The previous prime is 120262999. The next prime is 120263053. The reversal of 120263052 is 250362021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (120263053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223 + ... + 15510.

Almost surely, 2120263052 is an apocalyptic number.

120263052 is a gapful number since it is divisible by the number (12) 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 120263052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175780248).

120263052 is an abundant number, since it is smaller than the sum of its proper divisors (231297444).

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

120263052 is a wasteful number, since it uses less digits than its factorization.

120263052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15767 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 120263052 is about 10966.4512035571. The cubic root of 120263052 is about 493.6025640657.

The spelling of 120263052 in words is "one hundred twenty million, two hundred sixty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 15733 31466 47199 62932 94398 110131 188796 204529 220262 330393 409058 440524 613587 660786 770917 818116 1227174 1321572 1431703 1541834 2312751 2454348 2863406 3083668 4295109 4625502 5726812 8590218 9251004 10021921 17180436 20043842 30065763 40087684 60131526 120263052