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119947040 = 2552572917
BaseRepresentation
bin1110010011000…
…11111100100000
322100200221101222
413021203330200
5221201301130
615522514212
72654350553
oct711437440
9270627358
10119947040
1161785a94
1234205968
131bb08aa5
1411d0469a
15a7e4ce5
hex7263f20

119947040 has 48 divisors (see below), whose sum is σ = 284575032. Its totient is φ = 47775744.

The previous prime is 119947031. The next prime is 119947063. The reversal of 119947040 is 40749911.

It can be written as a sum of positive squares in 4 ways, for example, as 113124496 + 6822544 = 10636^2 + 2612^2 .

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 7 ways as a sum of consecutive naturals, for example, 39662 + ... + 42578.

Almost surely, 2119947040 is an apocalyptic number.

119947040 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 119947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142287516).

119947040 is an abundant number, since it is smaller than the sum of its proper divisors (164627992).

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

119947040 is a wasteful number, since it uses less digits than its factorization.

119947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 119947040 is about 10952.0336011172. The cubic root of 119947040 is about 493.1698427492.

The spelling of 119947040 in words is "one hundred nineteen million, nine hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257 514 1028 1285 2056 2570 2917 4112 5140 5834 8224 10280 11668 14585 20560 23336 29170 41120 46672 58340 93344 116680 233360 466720 749669 1499338 2998676 3748345 5997352 7496690 11994704 14993380 23989408 29986760 59973520 119947040