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161899440 = 2435798539
BaseRepresentation
bin10011010011001…
…10001110110000
3102021122100021120
421221212032300
5312421240230
624022022240
74004060013
oct1151461660
9367570246
10161899440
118342a49a
1246277980
13277071b1
141770537a
15e330310
hex9a663b0

161899440 has 80 divisors (see below), whose sum is σ = 508300800. Its totient is φ = 42621696.

The previous prime is 161899421. The next prime is 161899459. The reversal of 161899440 is 44998161.

161899440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161899421) and next prime (161899459).

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

It is a super-2 number, since 2×1618994402 = 52422857344627200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161899392 and 161899401.

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 15 ways as a sum of consecutive naturals, for example, 14691 + ... + 23229.

It is an arithmetic number, because the mean of its divisors is an integer number (6353760).

Almost surely, 2161899440 is an apocalyptic number.

161899440 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 161899440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254150400).

161899440 is an abundant number, since it is smaller than the sum of its proper divisors (346401360).

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

161899440 is a wasteful number, since it uses less digits than its factorization.

161899440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 161899440 is about 12723.9710782444. The cubic root of 161899440 is about 545.0233584243.

The spelling of 161899440 in words is "one hundred sixty-one million, eight hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 8539 9480 17078 18960 25617 34156 42695 51234 68312 85390 102468 128085 136624 170780 204936 256170 341560 409872 512340 674581 683120 1024680 1349162 2023743 2049360 2698324 3372905 4047486 5396648 6745810 8094972 10118715 10793296 13491620 16189944 20237430 26983240 32379888 40474860 53966480 80949720 161899440