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157003280 = 24571392017
BaseRepresentation
bin10010101101110…
…10111000010000
3101221102121000022
421112322320100
5310143101110
623325043012
73614335340
oct1126727020
9357377008
10157003280
1180695985
12446b6468
13266b1765
1416bccd20
15dbb4755
hex95bae10

157003280 has 80 divisors (see below), whose sum is σ = 420389760. Its totient is φ = 53415936.

The previous prime is 157003243. The next prime is 157003283. The reversal of 157003280 is 82300751.

157003280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (157003283) 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 15 ways as a sum of consecutive naturals, for example, 76832 + ... + 78848.

It is an arithmetic number, because the mean of its divisors is an integer number (5254872).

Almost surely, 2157003280 is an apocalyptic number.

157003280 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 157003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210194880).

157003280 is an abundant number, since it is smaller than the sum of its proper divisors (263386480).

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

157003280 is a wasteful number, since it uses less digits than its factorization.

157003280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 157003280 is about 12530.0949717071. The cubic root of 157003280 is about 539.4728279970.

The spelling of 157003280 in words is "one hundred fifty-seven million, three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 278 280 556 560 695 973 1112 1390 1946 2017 2224 2780 3892 4034 4865 5560 7784 8068 9730 10085 11120 14119 15568 16136 19460 20170 28238 32272 38920 40340 56476 70595 77840 80680 112952 141190 161360 225904 280363 282380 560726 564760 1121452 1129520 1401815 1962541 2242904 2803630 3925082 4485808 5607260 7850164 9812705 11214520 15700328 19625410 22429040 31400656 39250820 78501640 157003280