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149403840 = 2635198191
BaseRepresentation
bin10001110011110…
…11100011000000
3101102010111112120
420321323203000
5301221410330
622454124240
73462624465
oct1071734300
9342114476
10149403840
1177375353
1242050680
1324c50751
1415bb166c
15d1b2c10
hex8e7b8c0

149403840 has 112 divisors (see below), whose sum is σ = 499384320. Its totient is φ = 37739520.

The previous prime is 149403833. The next prime is 149403857. The reversal of 149403840 is 48304941.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14145 + ... + 22335.

Almost surely, 2149403840 is an apocalyptic number.

149403840 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 149403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249692160).

149403840 is an abundant number, since it is smaller than the sum of its proper divisors (349980480).

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

149403840 is a wasteful number, since it uses less digits than its factorization.

149403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 149403840 is about 12223.0863532906. The cubic root of 149403840 is about 530.6244449572.

The spelling of 149403840 in words is "one hundred forty-nine million, four hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 8191 9120 16382 18240 24573 32764 40955 49146 65528 81910 98292 122865 131056 155629 163820 196584 245730 262112 311258 327640 393168 466887 491460 524224 622516 655280 778145 786336 933774 982920 1245032 1310560 1556290 1572672 1867548 1965840 2334435 2490064 2621120 3112580 3735096 3931680 4668870 4980128 6225160 7470192 7863360 9337740 9960256 12450320 14940384 18675480 24900640 29880768 37350960 49801280 74701920 149403840