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38183940 = 22335312281
BaseRepresentation
bin1001000110101…
…0010000000100
32122211221112000
42101222100010
534233341230
63442225300
7642362304
oct221522004
978757460
1038183940
111a610183
1210955230
137bac062
1450dd604
153543b60
hex246a404

38183940 has 96 divisors (see below), whose sum is σ = 122680320. Its totient is φ = 9849600.

The previous prime is 38183917. The next prime is 38183983. The reversal of 38183940 is 4938183.

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

It is a junction number, because it is equal to n+sod(n) for n = 38183895 and 38183904.

It is a congruent number.

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, 15600 + ... + 17880.

It is an arithmetic number, because the mean of its divisors is an integer number (1277920).

Almost surely, 238183940 is an apocalyptic number.

38183940 is a gapful number since it is divisible by the number (30) 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 38183940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61340160).

38183940 is an abundant number, since it is smaller than the sum of its proper divisors (84496380).

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

38183940 is a wasteful number, since it uses less digits than its factorization.

38183940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38183940 is about 6179.3154960724. The cubic root of 38183940 is about 336.7391254468.

The spelling of 38183940 in words is "thirty-eight million, one hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2281 2790 3348 4185 4562 5580 6843 8370 9124 11405 13686 16740 20529 22810 27372 34215 41058 45620 61587 68430 70711 82116 102645 123174 136860 141422 205290 212133 246348 282844 307935 353555 410580 424266 615870 636399 707110 848532 1060665 1231740 1272798 1414220 1909197 2121330 2545596 3181995 3818394 4242660 6363990 7636788 9545985 12727980 19091970 38183940