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161463440 = 24553113337
BaseRepresentation
bin10011001111110…
…11110010010000
3102020211012012102
421213323302100
5312313312230
624004415532
74000262615
oct1147736220
9366735172
10161463440
1183161966
12460a75a8
13275b38c8
141763050c
15e296045
hex99fbc90

161463440 has 80 divisors (see below), whose sum is σ = 387015408. Its totient is φ = 62619648.

The previous prime is 161463391. The next prime is 161463451. The reversal of 161463440 is 44364161.

161463440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24760576 + 136702864 = 4976^2 + 11692^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478952 + ... + 479288.

Almost surely, 2161463440 is an apocalyptic number.

161463440 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 161463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193507704).

161463440 is an abundant number, since it is smaller than the sum of its proper divisors (225551968).

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

161463440 is a wasteful number, since it uses less digits than its factorization.

161463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 161463440 is about 12706.8265117613. The cubic root of 161463440 is about 544.5336638768.

The spelling of 161463440 in words is "one hundred sixty-one million, four hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 113 212 226 265 337 424 452 530 565 674 848 904 1060 1130 1348 1685 1808 2120 2260 2696 3370 4240 4520 5392 5989 6740 9040 11978 13480 17861 23956 26960 29945 35722 38081 47912 59890 71444 76162 89305 95824 119780 142888 152324 178610 190405 239560 285776 304648 357220 380810 479120 609296 714440 761620 1428880 1523240 2018293 3046480 4036586 8073172 10091465 16146344 20182930 32292688 40365860 80731720 161463440