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120164700 = 223522631523
BaseRepresentation
bin1110010100110…
…01000101011100
322101002222222110
413022121011130
5221230232300
615531314020
72656245255
oct712310534
9271088873
10120164700
1161914577
12342ab910
131bb83b96
1411d5db2c
15a839550
hex729915c

120164700 has 72 divisors (see below), whose sum is σ = 349227648. Its totient is φ = 31901120.

The previous prime is 120164657. The next prime is 120164713. The reversal of 120164700 is 7461021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78139 + ... + 79661.

It is an arithmetic number, because the mean of its divisors is an integer number (4850384).

Almost surely, 2120164700 is an apocalyptic number.

120164700 is a gapful number since it is divisible by the number (10) 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 120164700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613824).

120164700 is an abundant number, since it is smaller than the sum of its proper divisors (229062948).

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

120164700 is a wasteful number, since it uses less digits than its factorization.

120164700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 120164700 is about 10961.9660645342. The cubic root of 120164700 is about 493.4679701108.

The spelling of 120164700 in words is "one hundred twenty million, one hundred sixty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1523 1578 2630 3046 3156 3945 4569 5260 6092 6575 7615 7890 9138 13150 15230 15780 18276 19725 22845 26300 30460 38075 39450 45690 76150 78900 91380 114225 152300 228450 400549 456900 801098 1201647 1602196 2002745 2403294 4005490 4806588 6008235 8010980 10013725 12016470 20027450 24032940 30041175 40054900 60082350 120164700