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120434112 = 2632375651
BaseRepresentation
bin1110010110110…
…10110111000000
322101121200112200
413023122313000
5221312342422
615541153200
72661446601
oct713326700
9271550480
10120434112
1161a88a27
12343bb800
131bc496b6
1411dcdda8
15a88e2ac
hex72dadc0

120434112 has 84 divisors (see below), whose sum is σ = 354595176. Its totient is φ = 39052800.

The previous prime is 120434107. The next prime is 120434113. The reversal of 120434112 is 211434021.

120434112 is a `hidden beast` number, since 120 + 434 + 112 = 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 (120434113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18487 + ... + 24137.

Almost surely, 2120434112 is an apocalyptic number.

120434112 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 120434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177297588).

120434112 is an abundant number, since it is smaller than the sum of its proper divisors (234161064).

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

120434112 is a wasteful number, since it uses less digits than its factorization.

120434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120434112 is about 10974.2476735310. The cubic root of 120434112 is about 493.8364836599.

Adding to 120434112 its reverse (211434021), we get a palindrome (331868133).

Subtracting 120434112 from its reverse (211434021), we obtain a palindrome (90999909).

The spelling of 120434112 in words is "one hundred twenty million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 5651 7104 10656 11302 16953 21312 22604 33906 45208 50859 67812 90416 101718 135624 180832 203436 209087 271248 361664 406872 418174 542496 627261 813744 836348 1084992 1254522 1627488 1672696 1881783 2509044 3254976 3345392 3763566 5018088 6690784 7527132 10036176 13381568 15054264 20072352 30108528 40144704 60217056 120434112