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38940120 = 23325195693
BaseRepresentation
bin1001010010001…
…0110111011000
32201021100210200
42110202313120
534432040440
63510342200
7651662022
oct224426730
981240720
1038940120
111aa8731a
121105a960
1380b52bb
145259012
153642c30
hex2522dd8

38940120 has 96 divisors (see below), whose sum is σ = 133239600. Its totient is φ = 9835776.

The previous prime is 38940089. The next prime is 38940131. The reversal of 38940120 is 2104983.

It is a super-2 number, since 2×389401202 = 3032665891228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3994 + ... + 9686.

Almost surely, 238940120 is an apocalyptic number.

38940120 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 38940120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66619800).

38940120 is an abundant number, since it is smaller than the sum of its proper divisors (94299480).

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

38940120 is a wasteful number, since it uses less digits than its factorization.

38940120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38940120 is about 6240.2019198100. The cubic root of 38940120 is about 338.9474949356.

It can be divided in two parts, 38940 and 120, that added together give a triangular number (39060 = T279).

The spelling of 38940120 in words is "thirty-eight million, nine hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 5693 6840 11386 17079 22772 28465 34158 45544 51237 56930 68316 85395 102474 108167 113860 136632 170790 204948 216334 227720 256185 324501 341580 409896 432668 512370 540835 649002 683160 865336 973503 1024740 1081670 1298004 1622505 1947006 2049480 2163340 2596008 3245010 3894012 4326680 4867515 6490020 7788024 9735030 12980040 19470060 38940120