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161788040 = 235191931103
BaseRepresentation
bin10011010010010…
…11000010001000
3102021102200110122
421221023002020
5312404204130
624015402412
74003114151
oct1151130210
9367380418
10161788040
1183363827
1246223408
132769858b
14176b6928
15e30c2e5
hex9a4b088

161788040 has 64 divisors (see below), whose sum is σ = 385516800. Its totient is φ = 60936192.

The previous prime is 161788037. The next prime is 161788057. The reversal of 161788040 is 40887161.

161788040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 146129 + ... + 147231.

It is an arithmetic number, because the mean of its divisors is an integer number (6023700).

Almost surely, 2161788040 is an apocalyptic number.

161788040 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 161788040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192758400).

161788040 is an abundant number, since it is smaller than the sum of its proper divisors (223728760).

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

161788040 is a wasteful number, since it uses less digits than its factorization.

161788040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 161788040 is about 12719.5927607766. The cubic root of 161788040 is about 544.8983229224.

The spelling of 161788040 in words is "one hundred sixty-one million, seven hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 193 380 386 760 772 965 1103 1544 1930 2206 3667 3860 4412 5515 7334 7720 8824 11030 14668 18335 20957 22060 29336 36670 41914 44120 73340 83828 104785 146680 167656 209570 212879 419140 425758 838280 851516 1064395 1703032 2128790 4044701 4257580 8089402 8515160 16178804 20223505 32357608 40447010 80894020 161788040