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157834240 = 2105291063
BaseRepresentation
bin10010110100001…
…01110000000000
3101222222210212121
421122011300000
5310401143430
623354534024
73624366064
oct1132056000
9358883777
10157834240
1181103223
1244a37314
1326912a55
1416d67aa4
15dccaa7a
hex9685c00

157834240 has 88 divisors (see below), whose sum is σ = 392041440. Its totient is φ = 60899328.

The previous prime is 157834223. The next prime is 157834247. The reversal of 157834240 is 42438751.

It is a junction number, because it is equal to n+sod(n) for n = 157834196 and 157834205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157834247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147949 + ... + 149011.

Almost surely, 2157834240 is an apocalyptic number.

157834240 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 157834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020720).

157834240 is an abundant number, since it is smaller than the sum of its proper divisors (234207200).

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

157834240 is a wasteful number, since it uses less digits than its factorization.

157834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 157834240 is about 12563.2097809437. The cubic root of 157834240 is about 540.4228968915.

The spelling of 157834240 in words is "one hundred fifty-seven million, eight hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1063 1160 1280 1856 2126 2320 2560 3712 4252 4640 5120 5315 7424 8504 9280 10630 14848 17008 18560 21260 29696 30827 34016 37120 42520 61654 68032 74240 85040 123308 136064 148480 154135 170080 246616 272128 308270 340160 493232 544256 616540 680320 986464 1088512 1233080 1360640 1972928 2466160 2721280 3945856 4932320 5442560 7891712 9864640 15783424 19729280 31566848 39458560 78917120 157834240