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157270016 = 21429331
BaseRepresentation
bin10010101111111…
…00000000000000
3101221221010220102
421113330000000
5310230120031
623334501532
73616526111
oct1127740000
9357833812
10157270016
1180858322
12448048a8
1326775ca7
1416c5c208
15dc187cb
hex95fc000

157270016 has 60 divisors (see below), whose sum is σ = 326359320. Its totient is φ = 75694080.

The previous prime is 157270013. The next prime is 157270019. The reversal of 157270016 is 610072751.

It is an interprime number because it is at equal distance from previous prime (157270013) and next prime (157270019).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157270013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 474971 + ... + 475301.

It is an arithmetic number, because the mean of its divisors is an integer number (5439322).

Almost surely, 2157270016 is an apocalyptic number.

157270016 is a gapful number since it is divisible by the number (16) 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 157270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163179660).

157270016 is an abundant number, since it is smaller than the sum of its proper divisors (169089304).

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

157270016 is an frugal number, since it uses more digits than its factorization.

157270016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 157270016 is about 12540.7342687739. The cubic root of 157270016 is about 539.7781621942.

The spelling of 157270016 in words is "one hundred fifty-seven million, two hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 331 464 512 662 928 1024 1324 1856 2048 2648 3712 4096 5296 7424 8192 9599 10592 14848 16384 19198 21184 29696 38396 42368 59392 76792 84736 118784 153584 169472 237568 307168 338944 475136 614336 677888 1228672 1355776 2457344 2711552 4914688 5423104 9829376 19658752 39317504 78635008 157270016