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120734320 = 24571671291
BaseRepresentation
bin1110011001001…
…00001001110000
322102011221100111
413030210021300
5221401444240
615551431104
72664140050
oct714441160
9272157314
10120734320
1162173533
1234525494
131c023235
141206b560
15a8ed1ea
hex7324270

120734320 has 80 divisors (see below), whose sum is σ = 322979328. Its totient is φ = 41114880.

The previous prime is 120734297. The next prime is 120734353. The reversal of 120734320 is 23437021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 120734291 and 120734300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92875 + ... + 94165.

Almost surely, 2120734320 is an apocalyptic number.

120734320 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 120734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161489664).

120734320 is an abundant number, since it is smaller than the sum of its proper divisors (202245008).

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

120734320 is a wasteful number, since it uses less digits than its factorization.

120734320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 120734320 is about 10987.9170000506. The cubic root of 120734320 is about 494.2464745010.

The spelling of 120734320 in words is "one hundred twenty million, seven hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1291 1336 1670 2338 2582 2672 3340 4676 5164 5845 6455 6680 9037 9352 10328 11690 12910 13360 18074 18704 20656 23380 25820 36148 45185 46760 51640 72296 90370 93520 103280 144592 180740 215597 361480 431194 722960 862388 1077985 1509179 1724776 2155970 3018358 3449552 4311940 6036716 7545895 8623880 12073432 15091790 17247760 24146864 30183580 60367160 120734320