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120196398 = 23773197199
BaseRepresentation
bin1110010101000…
…00110100101110
322101011121110110
413022200310232
5221232241043
615532120450
72656436550
oct712406456
9271147413
10120196398
1161936373
1234306126
131bb9543a
1411d6b4d0
15a843b33
hex72a0d2e

120196398 has 64 divisors (see below), whose sum is σ = 281318400. Its totient is φ = 33530112.

The previous prime is 120196381. The next prime is 120196399. The reversal of 120196398 is 893691021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120196399) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 603903 + ... + 604101.

It is an arithmetic number, because the mean of its divisors is an integer number (4395600).

Almost surely, 2120196398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120196398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140659200).

120196398 is an abundant number, since it is smaller than the sum of its proper divisors (161122002).

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

120196398 is a wasteful number, since it uses less digits than its factorization.

120196398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 120196398 is about 10963.4117864833. The cubic root of 120196398 is about 493.5113565977.

The spelling of 120196398 in words is "one hundred twenty million, one hundred ninety-six thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 73 146 197 199 219 394 398 438 511 591 597 1022 1182 1194 1379 1393 1533 2758 2786 3066 4137 4179 8274 8358 14381 14527 28762 29054 39203 43143 43581 78406 86286 87162 100667 101689 117609 201334 203378 235218 274421 302001 305067 548842 604002 610134 823263 1646526 2861819 5723638 8585457 17170914 20032733 40065466 60098199 120196398