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149017440 = 253511132167
BaseRepresentation
bin10001110000111…
…01001101100000
3101101101212111110
420320131031200
5301122024230
622441543320
73456425115
oct1070351540
9341355443
10149017440
1177131010
1241aa4b40
1324b46900
1415b1090c
15d1384b0
hex8e1d360

149017440 has 288 divisors, whose sum is σ = 557819136. Its totient is φ = 33146880.

The previous prime is 149017409. The next prime is 149017459. The reversal of 149017440 is 44710941.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 149017398 and 149017407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892237 + ... + 892403.

It is an arithmetic number, because the mean of its divisors is an integer number (1936872).

Almost surely, 2149017440 is an apocalyptic number.

149017440 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 149017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278909568).

149017440 is an abundant number, since it is smaller than the sum of its proper divisors (408801696).

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

149017440 is a wasteful number, since it uses less digits than its factorization.

149017440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 149017440 is about 12207.2699650659. The cubic root of 149017440 is about 530.1666024241.

The spelling of 149017440 in words is "one hundred forty-nine million, seventeen thousand, four hundred forty".