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157866480 = 24325239533
BaseRepresentation
bin10010110100011…
…01100111110000
3102000001110002200
421122031213300
5310403211410
623355343200
73624562062
oct1132154760
9360043080
10157866480
1181125472
1244a51b00
1326924625
1416d75732
15dcd53c0
hex968d9f0

157866480 has 120 divisors (see below), whose sum is σ = 553277088. Its totient is φ = 40263168.

The previous prime is 157866463. The next prime is 157866481. The reversal of 157866480 is 84668751.

It is a happy number.

157866480 is digitally balanced in base 2, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157866481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11794 + ... + 21326.

Almost surely, 2157866480 is an apocalyptic number.

157866480 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 157866480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276638544).

157866480 is an abundant number, since it is smaller than the sum of its proper divisors (395410608).

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

157866480 is a wasteful number, since it uses less digits than its factorization.

157866480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9575 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 157866480 is about 12564.4928270106. The cubic root of 157866480 is about 540.4596908681.

The spelling of 157866480 in words is "one hundred fifty-seven million, eight hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 9533 16560 19066 28599 38132 47665 57198 76264 85797 95330 114396 142995 152528 171594 190660 219259 228792 285990 343188 381320 428985 438518 457584 571980 657777 686376 762640 857970 877036 1096295 1143960 1315554 1372752 1715940 1754072 1973331 2192590 2287920 2631108 3288885 3431880 3508144 3946662 4385180 5262216 6577770 6863760 7893324 8770360 9866655 10524432 13155540 15786648 17540720 19733310 26311080 31573296 39466620 52622160 78933240 157866480