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38140080 = 24351114447
BaseRepresentation
bin1001000101111…
…1100010110000
32122202201100120
42101133202300
534230440310
63441250240
7642120366
oct221374260
978681316
1038140080
111a590230
1210933980
137b950c4
1450cb636
153535b70
hex245f8b0

38140080 has 80 divisors (see below), whose sum is σ = 128991744. Its totient is φ = 9245440.

The previous prime is 38140079. The next prime is 38140117. The reversal of 38140080 is 8004183.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38140080.

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, 4584 + ... + 9863.

Almost surely, 238140080 is an apocalyptic number.

38140080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38140080 is an abundant number, since it is smaller than the sum of its proper divisors (90851664).

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

38140080 is a wasteful number, since it uses less digits than its factorization.

38140080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14474 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 38140080 is about 6175.7655395910. The cubic root of 38140080 is about 336.6101441997.

The spelling of 38140080 in words is "thirty-eight million, one hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 14447 28894 43341 57788 72235 86682 115576 144470 158917 173364 216705 231152 288940 317834 346728 433410 476751 577880 635668 693456 794585 866820 953502 1155760 1271336 1589170 1733640 1907004 2383755 2542672 3178340 3467280 3814008 4767510 6356680 7628016 9535020 12713360 19070040 38140080