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120330684 = 2235432879
BaseRepresentation
bin1110010110000…
…01100110111100
322101102102200000
413023001212330
5221301040214
615535034300
72660536215
oct713014674
9271372600
10120330684
1161a18251
123436b990
131bc115b6
1411da440c
15a86d809
hex72c19bc

120330684 has 72 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 39163824.

The previous prime is 120330671. The next prime is 120330689. The reversal of 120330684 is 486033021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120330689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40357 + ... + 43235.

It is an arithmetic number, because the mean of its divisors is an integer number (4484480).

Almost surely, 2120330684 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 120330684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

120330684 is an abundant number, since it is smaller than the sum of its proper divisors (202551876).

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

120330684 is a wasteful number, since it uses less digits than its factorization.

120330684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 120330684 is about 10969.5343565714. The cubic root of 120330684 is about 493.6950753624.

The spelling of 120330684 in words is "one hundred twenty million, three hundred thirty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1548 2322 2879 3483 4644 5758 6966 8637 10449 11516 13932 17274 20898 25911 34548 41796 51822 77733 103644 123797 155466 233199 247594 310932 371391 466398 495188 699597 742782 932796 1114173 1399194 1485564 2228346 2798388 3342519 4456692 6685038 10027557 13370076 20055114 30082671 40110228 60165342 120330684