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161941440 = 2635433923
BaseRepresentation
bin10011010011100…
…00011111000000
3102021201110220010
421221300133000
5312424111230
624022544520
74004323323
oct1151603700
9367643803
10161941440
1183459001
1246298140
132772034b
14177167ba
15e33c9b0
hex9a707c0

161941440 has 112 divisors (see below), whose sum is σ = 526255488. Its totient is φ = 42169344.

The previous prime is 161941421. The next prime is 161941457. The reversal of 161941440 is 44149161.

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

It is a junction number, because it is equal to n+sod(n) for n = 161941398 and 161941407.

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, 39319 + ... + 43241.

Almost surely, 2161941440 is an apocalyptic number.

161941440 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 161941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263127744).

161941440 is an abundant number, since it is smaller than the sum of its proper divisors (364314048).

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

161941440 is a wasteful number, since it uses less digits than its factorization.

161941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 161941440 is about 12725.6213993659. The cubic root of 161941440 is about 545.0704843890.

The spelling of 161941440 in words is "one hundred sixty-one million, nine hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2752 3440 3923 4128 5160 6880 7846 8256 10320 11769 13760 15692 19615 20640 23538 31384 39230 41280 47076 58845 62768 78460 94152 117690 125536 156920 168689 188304 235380 251072 313840 337378 376608 470760 506067 627680 674756 753216 843445 941520 1012134 1255360 1349512 1686890 1883040 2024268 2530335 2699024 3373780 3766080 4048536 5060670 5398048 6747560 8097072 10121340 10796096 13495120 16194144 20242680 26990240 32388288 40485360 53980480 80970720 161941440