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120051316 = 22711409953
BaseRepresentation
bin1110010011111…
…01011001110100
322100220020110001
413021331121310
5221213120231
615525041044
72655263560
oct711753164
9270806401
10120051316
1161847370
1234256184
131bb443a8
1411d306a0
15a815b61
hex727d674

120051316 has 48 divisors (see below), whose sum is σ = 262846080. Its totient is φ = 46609920.

The previous prime is 120051277. The next prime is 120051317. The reversal of 120051316 is 613150021.

It is a junction number, because it is equal to n+sod(n) for n = 120051293 and 120051302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120051317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125496 + ... + 126448.

It is an arithmetic number, because the mean of its divisors is an integer number (5475960).

Almost surely, 2120051316 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 120051316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131423040).

120051316 is an abundant number, since it is smaller than the sum of its proper divisors (142794764).

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

120051316 is a wasteful number, since it uses less digits than its factorization.

120051316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 120051316 is about 10956.7931439815. The cubic root of 120051316 is about 493.3127138123.

The spelling of 120051316 in words is "one hundred twenty million, fifty-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 409 818 953 1636 1906 2863 3812 4499 5726 6671 8998 10483 11452 13342 17996 20966 26684 31493 41932 62986 73381 125972 146762 293524 389777 779554 1559108 2728439 4287547 5456878 8575094 10913756 17150188 30012829 60025658 120051316