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120402016 = 2572312477
BaseRepresentation
bin1110010110100…
…11000001100000
322101120001111221
413023103001200
5221310331031
615540344424
72661254200
oct713230140
9271501457
10120402016
1161a668a9
12343a5114
131bc37bc7
1411dc2400
15a884a11
hex72d3060

120402016 has 72 divisors (see below), whose sum is σ = 284751936. Its totient is φ = 49916160.

The previous prime is 120402001. The next prime is 120402043. The reversal of 120402016 is 610204021.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 47370 + ... + 49846.

It is an arithmetic number, because the mean of its divisors is an integer number (3954888).

Almost surely, 2120402016 is an apocalyptic number.

120402016 is a gapful number since it is divisible by the number (16) 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 120402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142375968).

120402016 is an abundant number, since it is smaller than the sum of its proper divisors (164349920).

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

120402016 is a wasteful number, since it uses less digits than its factorization.

120402016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 120402016 is about 10972.7852435013. The cubic root of 120402016 is about 493.7926101987.

Adding to 120402016 its reverse (610204021), we get a palindrome (730606037).

The spelling of 120402016 in words is "one hundred twenty million, four hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1519 1568 1736 2477 3038 3472 4954 6076 6944 9908 12152 17339 19816 24304 34678 39632 48608 69356 76787 79264 121373 138712 153574 242746 277424 307148 485492 537509 554848 614296 970984 1075018 1228592 1941968 2150036 2457184 3762563 3883936 4300072 7525126 8600144 15050252 17200288 30100504 60201008 120402016