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149172912 = 24327831783
BaseRepresentation
bin10001110010000…
…11001010110000
3101101200202202200
420321003022300
5301142013122
622445143200
73460643310
oct1071031260
9341622680
10149172912
11772278a9
1241b5ab00
1324b9c5c5
1415b51440
15d1695ac
hex8e432b0

149172912 has 120 divisors (see below), whose sum is σ = 483135744. Its totient is φ = 42083712.

The previous prime is 149172911. The next prime is 149172913. The reversal of 149172912 is 219271941.

It is an interprime number because it is at equal distance from previous prime (149172911) and next prime (149172913).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149172911) 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 23 ways as a sum of consecutive naturals, for example, 82773 + ... + 84555.

Almost surely, 2149172912 is an apocalyptic number.

149172912 is a gapful number since it is divisible by the number (12) 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 149172912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241567872).

149172912 is an abundant number, since it is smaller than the sum of its proper divisors (333962832).

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

149172912 is a wasteful number, since it uses less digits than its factorization.

149172912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1878 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 149172912 is about 12213.6363135636. The cubic root of 149172912 is about 530.3509151085.

The spelling of 149172912 in words is "one hundred forty-nine million, one hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1783 1992 2324 2988 3486 3566 3984 4648 5229 5349 5976 6972 7132 9296 10458 10698 11952 12481 13944 14264 16047 20916 21396 24962 27888 28528 32094 37443 41832 42792 49924 64188 74886 83664 85584 99848 112329 128376 147989 149772 199696 224658 256752 295978 299544 443967 449316 591956 599088 887934 898632 1035923 1183912 1331901 1775868 1797264 2071846 2367824 2663802 3107769 3551736 4143692 5327604 6215538 7103472 8287384 9323307 10655208 12431076 16574768 18646614 21310416 24862152 37293228 49724304 74586456 149172912