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120116430 = 23257375153
BaseRepresentation
bin1110010100011…
…01010011001110
322101000112202200
413022031103032
5221222211210
615530302330
72655654450
oct712152316
9271015680
10120116430
1161891285
12342879a6
131bb67c15
1411d4a2d0
15a82a0c0
hex728d4ce

120116430 has 96 divisors (see below), whose sum is σ = 366634944. Its totient is φ = 26707968.

The previous prime is 120116417. The next prime is 120116431. The reversal of 120116430 is 34611021.

It is a happy number.

120116430 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 643 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120116431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20734 + ... + 25886.

It is an arithmetic number, because the mean of its divisors is an integer number (3819114).

Almost surely, 2120116430 is an apocalyptic number.

120116430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120116430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183317472).

120116430 is an abundant number, since it is smaller than the sum of its proper divisors (246518514).

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

120116430 is a wasteful number, since it uses less digits than its factorization.

120116430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120116430 is about 10959.7641397979. The cubic root of 120116430 is about 493.4018861192.

Adding to 120116430 its reverse (34611021), we get a palindrome (154727451).

The spelling of 120116430 in words is "one hundred twenty million, one hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 5153 7770 10306 11655 15459 23310 25765 30918 36071 46377 51530 72142 77295 92754 108213 154590 180355 190661 216426 231885 324639 360710 381322 463770 541065 571983 649278 953305 1082130 1143966 1334627 1623195 1715949 1906610 2669254 2859915 3246390 3431898 4003881 5719830 6673135 8007762 8579745 12011643 13346270 17159490 20019405 24023286 40038810 60058215 120116430