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161374080 = 2735712007
BaseRepresentation
bin10011001111001…
…01111110000000
3102020122122121210
421213211332000
5312302432310
624002450120
73666441240
oct1147457600
9366578553
10161374080
118310080a
1246063940
132758202a
1417609b20
15e279820
hex99e5f80

161374080 has 128 divisors (see below), whose sum is σ = 587911680. Its totient is φ = 36882432.

The previous prime is 161374069. The next prime is 161374091. The reversal of 161374080 is 80473161.

It is a happy number.

161374080 is digitally balanced in base 2, 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 (161374069) and next prime (161374091).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 7437 + ... + 19443.

It is an arithmetic number, because the mean of its divisors is an integer number (4593060).

Almost surely, 2161374080 is an apocalyptic number.

161374080 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 161374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293955840).

161374080 is an abundant number, since it is smaller than the sum of its proper divisors (426537600).

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

161374080 is a wasteful number, since it uses less digits than its factorization.

161374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12036 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 161374080 is about 12703.3098049288. The cubic root of 161374080 is about 544.4331901356.

The spelling of 161374080 in words is "one hundred sixty-one million, three hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 12007 13440 24014 36021 48028 60035 72042 84049 96056 120070 144084 168098 180105 192112 240140 252147 288168 336196 360210 384224 420245 480280 504294 576336 672392 720420 768448 840490 960560 1008588 1152672 1260735 1344784 1440840 1536896 1680980 1921120 2017176 2305344 2521470 2689568 2881680 3361960 3842240 4034352 4610688 5042940 5379136 5763360 6723920 7684480 8068704 10085880 10758272 11526720 13447840 16137408 20171760 23053440 26895680 32274816 40343520 53791360 80687040 161374080