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138219696 = 2434234637
BaseRepresentation
bin10000011110100…
…01000010110000
3100122002021210000
420033101002300
5240341012241
621414310000
73265563606
oct1017210260
9318067700
10138219696
117102655a
123a358300
1322835c04
14144dd876
15c203eb6
hex83d10b0

138219696 has 100 divisors (see below), whose sum is σ = 417531312. Its totient is φ = 44060544.

The previous prime is 138219691. The next prime is 138219703. The reversal of 138219696 is 696912831.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138219691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27490 + ... + 32126.

Almost surely, 2138219696 is an apocalyptic number.

138219696 is a gapful number since it is divisible by the number (16) 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 138219696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208765656).

138219696 is an abundant number, since it is smaller than the sum of its proper divisors (279311616).

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

138219696 is a wasteful number, since it uses less digits than its factorization.

138219696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4665 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 138219696 is about 11756.6872885180. The cubic root of 138219696 is about 517.0390097606.

The spelling of 138219696 in words is "one hundred thirty-eight million, two hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4637 4968 7452 9274 9936 13911 14904 18548 27822 29808 37096 41733 55644 74192 83466 106651 111288 125199 166932 213302 222576 250398 319953 333864 375597 426604 500796 639906 667728 751194 853208 959859 1001592 1279812 1502388 1706416 1919718 2003184 2559624 2879577 3004776 3839436 5119248 5759154 6009552 7678872 8638731 11518308 15357744 17277462 23036616 34554924 46073232 69109848 138219696