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149380616 = 237511101
BaseRepresentation
bin10001110011101…
…01111000001000
3101102002022200102
420321311320020
5301220134431
622453424532
73462500000
oct1071657010
9342068612
10149380616
1177359960
124203b148
1324c42cc8
1415ba7000
15d1aadcb
hex8e75e08

149380616 has 96 divisors (see below), whose sum is σ = 360002880. Its totient is φ = 57624000.

The previous prime is 149380613. The next prime is 149380639. The reversal of 149380616 is 616083941.

It is a self number, because there is not a number n which added to its sum of digits gives 149380616.

It is not an unprimeable number, because it can be changed into a prime (149380613) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1478966 + ... + 1479066.

It is an arithmetic number, because the mean of its divisors is an integer number (3750030).

Almost surely, 2149380616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149380616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180001440).

149380616 is an abundant number, since it is smaller than the sum of its proper divisors (210622264).

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

149380616 is an equidigital number, since it uses as much as digits as its factorization.

149380616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 149380616 is about 12222.1363108092. The cubic root of 149380616 is about 530.5969493214.

The spelling of 149380616 in words is "one hundred forty-nine million, three hundred eighty thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 101 154 196 202 308 343 392 404 539 616 686 707 808 1078 1111 1372 1414 2156 2222 2401 2744 2828 3773 4312 4444 4802 4949 5656 7546 7777 8888 9604 9898 15092 15554 16807 19208 19796 26411 30184 31108 33614 34643 39592 52822 54439 62216 67228 69286 105644 108878 134456 138572 184877 211288 217756 242501 277144 369754 381073 435512 485002 739508 762146 970004 1479016 1524292 1697507 1940008 2667511 3048584 3395014 5335022 6790028 10670044 13580056 18672577 21340088 37345154 74690308 149380616