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149989440 = 2635236793
BaseRepresentation
bin10001111000010…
…10100001000000
3101110020020211110
420330022201000
5301344130230
622514443320
73500613666
oct1074124100
9343206743
10149989440
1177735317
1242293540
13250c7163
1415cc4c36
15d27b4b0
hex8f0a840

149989440 has 112 divisors (see below), whose sum is σ = 496994688. Its totient is φ = 38252544.

The previous prime is 149989429. The next prime is 149989447. The reversal of 149989440 is 44989941.

It is a happy number.

It is a super-2 number, since 2×1499894402 = 44993664223027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 149989440.

It is not an unprimeable number, because it can be changed into a prime (149989447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18684 + ... + 25476.

Almost surely, 2149989440 is an apocalyptic number.

149989440 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 149989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248497344).

149989440 is an abundant number, since it is smaller than the sum of its proper divisors (347005248).

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

149989440 is a wasteful number, since it uses less digits than its factorization.

149989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 149989440 is about 12247.0175961334. The cubic root of 149989440 is about 531.3168157715.

The spelling of 149989440 in words is "one hundred forty-nine million, nine hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 6793 7360 11040 13586 20379 22080 27172 33965 40758 54344 67930 81516 101895 108688 135860 156239 163032 203790 217376 271720 312478 326064 407580 434752 468717 543440 624956 652128 781195 815160 937434 1086880 1249912 1304256 1562390 1630320 1874868 2173760 2343585 2499824 3124780 3260640 3749736 4687170 4999648 6249560 6521280 7499472 9374340 9999296 12499120 14998944 18748680 24998240 29997888 37497360 49996480 74994720 149989440