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120130776 = 2334892083
BaseRepresentation
bin1110010100100…
…00110011011000
322101001021110000
413022100303120
5221223141101
615530453000
72656044333
oct712206330
9271037400
10120130776
11618a1037
1234294160
131bb715cc
1411d5161a
15a82e486
hex7290cd8

120130776 has 80 divisors (see below), whose sum is σ = 340421400. Its totient is φ = 39574656.

The previous prime is 120130739. The next prime is 120130781. The reversal of 120130776 is 677031021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56631 + ... + 58713.

Almost surely, 2120130776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170210700).

120130776 is an abundant number, since it is smaller than the sum of its proper divisors (220290624).

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

120130776 is a wasteful number, since it uses less digits than its factorization.

120130776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 120130776 is about 10960.4186051446. The cubic root of 120130776 is about 493.4215283438.

Adding to 120130776 its reverse (677031021), we get a palindrome (797161797).

The spelling of 120130776 in words is "one hundred twenty million, one hundred thirty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 267 324 356 534 648 712 801 1068 1602 2083 2136 2403 3204 4166 4806 6249 6408 7209 8332 9612 12498 14418 16664 18747 19224 24996 28836 37494 49992 56241 57672 74988 112482 149976 168723 185387 224964 337446 370774 449928 556161 674892 741548 1112322 1349784 1483096 1668483 2224644 3336966 4449288 5005449 6673932 10010898 13347864 15016347 20021796 30032694 40043592 60065388 120130776