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157767064 = 23721383373
BaseRepresentation
bin10010110011101…
…01010110011000
3101222212101201121
421121311112120
5310342021224
623353255024
73623666200
oct1131652630
9358771647
10157767064
1181067804
1244a04474
13268bb2c0
1416d4b400
15dcb5be4
hex9675598

157767064 has 96 divisors (see below), whose sum is σ = 376049520. Its totient is φ = 61496064.

The previous prime is 157767053. The next prime is 157767073. The reversal of 157767064 is 460767751.

157767064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157767064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422782 + ... + 423154.

Almost surely, 2157767064 is an apocalyptic number.

157767064 is a gapful number since it is divisible by the number (14) 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 157767064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188024760).

157767064 is an abundant number, since it is smaller than the sum of its proper divisors (218282456).

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

157767064 is a wasteful number, since it uses less digits than its factorization.

157767064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The square root of 157767064 is about 12560.5359758252. The cubic root of 157767064 is about 540.3462160223.

The spelling of 157767064 in words is "one hundred fifty-seven million, seven hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 83 91 98 104 166 182 196 332 364 373 392 581 637 664 728 746 1079 1162 1274 1492 2158 2324 2548 2611 2984 4067 4316 4648 4849 5096 5222 7553 8134 8632 9698 10444 15106 16268 18277 19396 20888 30212 30959 32536 33943 36554 38792 52871 60424 61918 67886 73108 105742 123836 135772 146216 211484 216713 237601 247672 271544 402467 422968 433426 475202 804934 866852 950404 1516991 1609868 1733704 1900808 2817269 3033982 3219736 5634538 6067964 11269076 12135928 19720883 22538152 39441766 78883532 157767064