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120215034 = 23229412137
BaseRepresentation
bin1110010101001…
…01010111111010
322101012120000200
413022211113322
5221233340114
615532343030
72656545102
oct712452772
9271176020
10120215034
1161949375
1234314a76
131bba0a74
1411d74202
15a849409
hex72a55fa

120215034 has 72 divisors (see below), whose sum is σ = 278195580. Its totient is φ = 37470720.

The previous prime is 120215023. The next prime is 120215047. The reversal of 120215034 is 430512021.

It can be written as a sum of positive squares in 6 ways, for example, as 9018009 + 111197025 = 3003^2 + 10545^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120214998 and 120215016.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 877414 + ... + 877550.

Almost surely, 2120215034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120215034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139097790).

120215034 is an abundant number, since it is smaller than the sum of its proper divisors (157980546).

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

120215034 is a wasteful number, since it uses less digits than its factorization.

120215034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120215034 is about 10964.2616714487. The cubic root of 120215034 is about 493.5368609736.

Adding to 120215034 its reverse (430512021), we get a palindrome (550727055).

The spelling of 120215034 in words is "one hundred twenty million, two hundred fifteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 137 174 246 261 274 369 411 522 738 822 1189 1233 1681 2378 2466 3362 3567 3973 5043 5617 7134 7946 10086 10701 11234 11919 15129 16851 21402 23838 30258 33702 35757 48749 50553 71514 97498 101106 146247 162893 230297 292494 325786 438741 460594 488679 690891 877482 977358 1381782 1466037 2072673 2932074 4145346 6678613 13357226 20035839 40071678 60107517 120215034