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38102040 = 23325109971
BaseRepresentation
bin1001000101011…
…0010000011000
32122200210011200
42101112100120
534223231130
63440354200
7641601444
oct221262030
978623150
1038102040
111a564699
1210915960
137b809b2
1450bb824
153529760
hex2456418

38102040 has 96 divisors (see below), whose sum is σ = 125096400. Its totient is φ = 10056960.

The previous prime is 38102033. The next prime is 38102041. The reversal of 38102040 is 4020183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38102041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38755 + ... + 39725.

Almost surely, 238102040 is an apocalyptic number.

38102040 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 38102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62548200).

38102040 is an abundant number, since it is smaller than the sum of its proper divisors (86994360).

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

38102040 is a wasteful number, since it uses less digits than its factorization.

38102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38102040 is about 6172.6849911526. The cubic root of 38102040 is about 336.4981980155.

The spelling of 38102040 in words is "thirty-eight million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 971 981 1090 1308 1635 1942 1962 2180 2616 2913 3270 3884 3924 4360 4855 4905 5826 6540 7768 7848 8739 9710 9810 11652 13080 14565 17478 19420 19620 23304 29130 34956 38840 39240 43695 58260 69912 87390 105839 116520 174780 211678 317517 349560 423356 529195 635034 846712 952551 1058390 1270068 1587585 1905102 2116780 2540136 3175170 3810204 4233560 4762755 6350340 7620408 9525510 12700680 19051020 38102040