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38497140 = 22335116481
BaseRepresentation
bin1001001011011…
…0101101110100
32200102212011000
42102312231310
534323402030
63453043300
7645135363
oct222665564
980385130
1038497140
111a804520
1210a86530
137c8b796
1451817da
1535a6860
hex24b6b74

38497140 has 96 divisors (see below), whose sum is σ = 130677120. Its totient is φ = 9331200.

The previous prime is 38497139. The next prime is 38497153. The reversal of 38497140 is 4179483.

It is a happy number.

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 = 38497095 and 38497104.

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, 2700 + ... + 9180.

It is an arithmetic number, because the mean of its divisors is an integer number (1361220).

Almost surely, 238497140 is an apocalyptic number.

38497140 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 38497140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65338560).

38497140 is an abundant number, since it is smaller than the sum of its proper divisors (92179980).

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

38497140 is a wasteful number, since it uses less digits than its factorization.

38497140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38497140 is about 6204.6063533475. The cubic root of 38497140 is about 337.6573093825.

The spelling of 38497140 in words is "thirty-eight million, four hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 6481 12962 19443 25924 32405 38886 58329 64810 71291 77772 97215 116658 129620 142582 174987 194430 213873 233316 285164 291645 349974 356455 388860 427746 583290 641619 699948 712910 855492 874935 1069365 1166580 1283238 1425820 1749870 1924857 2138730 2566476 3208095 3499740 3849714 4277460 6416190 7699428 9624285 12832380 19248570 38497140