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120007134 = 232131074793
BaseRepresentation
bin1110010011100…
…10100111011110
322100210222211200
413021302213132
5221210212014
615524100330
72655021012
oct711624736
9270728750
10120007134
1161817155
12342346a6
131bb2a250
1411d1c542
15a807a09
hex72729de

120007134 has 48 divisors (see below), whose sum is σ = 282692592. Its totient is φ = 36572544.

The previous prime is 120007093. The next prime is 120007141. The reversal of 120007134 is 431700021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22642 + ... + 27434.

It is an arithmetic number, because the mean of its divisors is an integer number (5889429).

Almost surely, 2120007134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120007134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141346296).

120007134 is an abundant number, since it is smaller than the sum of its proper divisors (162685458).

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

120007134 is a wasteful number, since it uses less digits than its factorization.

120007134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 120007134 is about 10954.7767663244. The cubic root of 120007134 is about 493.2521890929.

Adding to 120007134 its reverse (431700021), we get a palindrome (551707155).

The spelling of 120007134 in words is "one hundred twenty million, seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1391 1926 2782 4173 4793 8346 9586 12519 14379 25038 28758 43137 62309 86274 124618 186927 373854 512851 560781 1025702 1121562 1538553 3077106 4615659 6667063 9231318 13334126 20001189 40002378 60003567 120007134