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188423040 = 2735137549
BaseRepresentation
bin10110011101100…
…01101110000000
3111010112212211010
423032301232000
5341214014130
630410320520
74445366211
oct1316615600
9433485733
10188423040
11973a6023
1253129140
1330062a30
141b04b408
151181e0b0
hexb3b1b80

188423040 has 128 divisors (see below), whose sum is σ = 646884000. Its totient is φ = 46374912.

The previous prime is 188423029. The next prime is 188423051. The reversal of 188423040 is 40324881.

It is an interprime number because it is at equal distance from previous prime (188423029) and next prime (188423051).

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 junction number, because it is equal to n+sod(n) for n = 188422989 and 188423007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21186 + ... + 28734.

Almost surely, 2188423040 is an apocalyptic number.

188423040 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 188423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323442000).

188423040 is an abundant number, since it is smaller than the sum of its proper divisors (458460960).

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

188423040 is a wasteful number, since it uses less digits than its factorization.

188423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 188423040 is about 13726.7272137243. The cubic root of 188423040 is about 573.2947994053.

The spelling of 188423040 in words is "one hundred eighty-eight million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 7549 8320 12480 15098 22647 24960 30196 37745 45294 60392 75490 90588 98137 113235 120784 150980 181176 196274 226470 241568 294411 301960 362352 392548 452940 483136 490685 588822 603920 724704 785096 905880 966272 981370 1177644 1207840 1449408 1472055 1570192 1811760 1962740 2355288 2415680 2898816 2944110 3140384 3623520 3925480 4710576 4831360 5888220 6280768 7247040 7850960 9421152 11776440 12561536 14494080 15701920 18842304 23552880 31403840 37684608 47105760 62807680 94211520 188423040