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138499020 = 223251126359
BaseRepresentation
bin10000100000101…
…01001111001100
3100122121110221100
420100111033030
5240423432040
621424303100
73301136142
oct1020251714
9318543840
10138499020
11711a7400
123a471a90
13229030aa
1414573592
15c25bb30
hex84153cc

138499020 has 108 divisors (see below), whose sum is σ = 461850480. Its totient is φ = 33570240.

The previous prime is 138498967. The next prime is 138499027. The reversal of 138499020 is 20994831.

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

It is not an unprimeable number, because it can be changed into a prime (138499027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18601 + ... + 24959.

Almost surely, 2138499020 is an apocalyptic number.

138499020 is a gapful number since it is divisible by the number (10) 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 138499020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230925240).

138499020 is an abundant number, since it is smaller than the sum of its proper divisors (323351460).

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

138499020 is a wasteful number, since it uses less digits than its factorization.

138499020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 138499020 is about 11768.5606596559. The cubic root of 138499020 is about 517.3870649027.

The spelling of 138499020 in words is "one hundred thirty-eight million, four hundred ninety-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 6359 7260 10890 12718 19077 21780 25436 31795 38154 57231 63590 69949 76308 95385 114462 127180 139898 190770 209847 228924 279796 286155 349745 381540 419694 572310 629541 699490 769439 839388 1049235 1144620 1259082 1398980 1538878 2098470 2308317 2518164 3077756 3147705 3847195 4196940 4616634 6295410 6924951 7694390 9233268 11541585 12590820 13849902 15388780 23083170 27699804 34624755 46166340 69249510 138499020