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161355780 = 22335436949
BaseRepresentation
bin10011001111000…
…01100000000100
3102020121201112000
421213201200010
5312301341110
624002225300
73666334005
oct1147414004
9366551460
10161355780
1183098a93
1246055230
13275768c1
14176031ac
15e2741c0
hex99e1804

161355780 has 96 divisors (see below), whose sum is σ = 513744000. Its totient is φ = 42021504.

The previous prime is 161355773. The next prime is 161355827. The reversal of 161355780 is 87553161.

161355780 is a `hidden beast` number, since 16 + 13 + 557 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19746 + ... + 26694.

It is an arithmetic number, because the mean of its divisors is an integer number (5351500).

Almost surely, 2161355780 is an apocalyptic number.

161355780 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 161355780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256872000).

161355780 is an abundant number, since it is smaller than the sum of its proper divisors (352388220).

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

161355780 is a wasteful number, since it uses less digits than its factorization.

161355780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 161355780 is about 12702.5894997831. The cubic root of 161355780 is about 544.4126095813.

The spelling of 161355780 in words is "one hundred sixty-one million, three hundred fifty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 6949 7740 11610 13898 20847 23220 27796 34745 41694 62541 69490 83388 104235 125082 138980 187623 208470 250164 298807 312705 375246 416940 597614 625410 750492 896421 938115 1195228 1250820 1494035 1792842 1876230 2689263 2988070 3585684 3752460 4482105 5378526 5976140 8067789 8964210 10757052 13446315 16135578 17928420 26892630 32271156 40338945 53785260 80677890 161355780