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188933940 = 2232513263307
BaseRepresentation
bin10110100001011…
…10011100110100
3111011111211122100
423100232130310
5341331341230
630425302100
74452624546
oct1320563464
9434454570
10188933940
1197714958
1253334930
13301b1440
141b141696
15118c0660
hexb42e734

188933940 has 144 divisors (see below), whose sum is σ = 621548928. Its totient is φ = 46179072.

The previous prime is 188933909. The next prime is 188933993. The reversal of 188933940 is 49339881.

188933940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615267 + ... + 615573.

It is an arithmetic number, because the mean of its divisors is an integer number (4316312).

Almost surely, 2188933940 is an apocalyptic number.

188933940 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 188933940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310774464).

188933940 is an abundant number, since it is smaller than the sum of its proper divisors (432614988).

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

188933940 is a wasteful number, since it uses less digits than its factorization.

188933940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 188933940 is about 13745.3242959197. The cubic root of 188933940 is about 573.8124855409.

The spelling of 188933940 in words is "one hundred eighty-eight million, nine hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 263 307 390 468 526 585 614 780 789 921 1052 1170 1228 1315 1535 1578 1842 2340 2367 2630 2763 3070 3156 3419 3684 3945 3991 4605 4734 5260 5526 6140 6838 7890 7982 9210 9468 10257 11052 11835 11973 13676 13815 15780 15964 17095 18420 19955 20514 23670 23946 27630 30771 34190 35919 39910 41028 47340 47892 51285 55260 59865 61542 68380 71838 79820 80741 102570 119730 123084 143676 153855 161482 179595 205140 239460 242223 307710 322964 359190 403705 484446 615420 718380 726669 807410 968892 1049633 1211115 1453338 1614820 2099266 2422230 2906676 3148899 3633345 4198532 4844460 5248165 6297798 7266690 9446697 10496330 12595596 14533380 15744495 18893394 20992660 31488990 37786788 47233485 62977980 94466970 188933940