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149698368 = 263467431
BaseRepresentation
bin10001110110000…
…11011101000000
3101102200110120000
420323003131000
5301310321433
622504320000
73465262251
oct1073033500
9342613500
10149698368
1177556666
1242173000
1325024821
1415c4ab28
15d220113
hex8ec3740

149698368 has 140 divisors (see below), whose sum is σ = 451420992. Its totient is φ = 49040640.

The previous prime is 149698361. The next prime is 149698429. The reversal of 149698368 is 863896941.

149698368 is a `hidden beast` number, since 1 + 496 + 98 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149698361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347113 + ... + 347543.

Almost surely, 2149698368 is an apocalyptic number.

149698368 is a gapful number since it is divisible by the number (18) 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 149698368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225710496).

149698368 is an abundant number, since it is smaller than the sum of its proper divisors (301722624).

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

149698368 is an equidigital number, since it uses as much as digits as its factorization.

149698368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 149698368 is about 12235.1284423172. The cubic root of 149698368 is about 530.9728991244.

The spelling of 149698368 in words is "one hundred forty-nine million, six hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 268 288 324 402 431 432 536 576 603 648 804 862 864 1072 1206 1293 1296 1608 1724 1728 1809 2144 2412 2586 2592 3216 3448 3618 3879 4288 4824 5172 5184 5427 6432 6896 7236 7758 9648 10344 10854 11637 12864 13792 14472 15516 19296 20688 21708 23274 27584 28877 28944 31032 34911 38592 41376 43416 46548 57754 57888 62064 69822 82752 86631 86832 93096 115508 115776 124128 139644 173262 173664 186192 231016 248256 259893 279288 346524 347328 372384 462032 519786 558576 693048 744768 779679 924064 1039572 1117152 1386096 1559358 1848128 2079144 2234304 2339037 2772192 3118716 4158288 4678074 5544384 6237432 8316576 9356148 12474864 16633152 18712296 24949728 37424592 49899456 74849184 149698368