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149743104 = 293719733
BaseRepresentation
bin10001110110011…
…10011000000000
3101102202201220220
420323032120000
5301313234404
622505303040
73465536550
oct1073163000
9342681826
10149743104
1177587235
1242194a80
132503bcb4
1415c5d160
15d22d4d9
hex8ece600

149743104 has 160 divisors (see below), whose sum is σ = 480564480. Its totient is φ = 40476672.

The previous prime is 149743093. The next prime is 149743127. The reversal of 149743104 is 401347941.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 203922 + ... + 204654.

It is an arithmetic number, because the mean of its divisors is an integer number (3003528).

Almost surely, 2149743104 is an apocalyptic number.

149743104 is a gapful number since it is divisible by the number (14) 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 149743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240282240).

149743104 is an abundant number, since it is smaller than the sum of its proper divisors (330821376).

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

149743104 is an equidigital number, since it uses as much as digits as its factorization.

149743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 149743104 is about 12236.9564843551. The cubic root of 149743104 is about 531.0257860020.

The spelling of 149743104 in words is "one hundred forty-nine million, seven hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 733 768 798 896 912 1064 1216 1344 1466 1536 1596 1792 1824 2128 2199 2432 2688 2932 3192 3584 3648 4256 4398 4864 5131 5376 5864 6384 7296 8512 8796 9728 10262 10752 11728 12768 13927 14592 15393 17024 17592 20524 23456 25536 27854 29184 30786 34048 35184 41048 41781 46912 51072 55708 61572 68096 70368 82096 83562 93824 97489 102144 111416 123144 140736 164192 167124 187648 194978 204288 222832 246288 281472 292467 328384 334248 375296 389956 445664 492576 562944 584934 656768 668496 779912 891328 985152 1125888 1169868 1313536 1336992 1559824 1782656 1970304 2339736 2627072 2673984 3119648 3565312 3940608 4679472 5347968 6239296 7130624 7881216 9358944 10695936 12478592 18717888 21391872 24957184 37435776 49914368 74871552 149743104