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157116240 = 2433572739
BaseRepresentation
bin10010101110101…
…10011101010000
3101221122022222000
421113112131100
5310210204430
623331314000
73615315561
oct1127263520
9357568860
10157116240
1180762836
124474b900
1326720cb8
1416c1c168
15dbd7e60
hex95d6750

157116240 has 80 divisors (see below), whose sum is σ = 541185600. Its totient is φ = 41897088.

The previous prime is 157116209. The next prime is 157116241. The reversal of 157116240 is 42611751.

It is a happy number.

157116240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157116241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34210 + ... + 38529.

It is an arithmetic number, because the mean of its divisors is an integer number (6764820).

Almost surely, 2157116240 is an apocalyptic number.

157116240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157116240 is an abundant number, since it is smaller than the sum of its proper divisors (384069360).

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

157116240 is a wasteful number, since it uses less digits than its factorization.

157116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72761 (or 72749 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157116240 is about 12534.6017088697. The cubic root of 157116240 is about 539.6021761266.

Adding to 157116240 its reverse (42611751), we get a palindrome (199727991).

The spelling of 157116240 in words is "one hundred fifty-seven million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 72739 145478 218217 290956 363695 436434 581912 654651 727390 872868 1091085 1163824 1309302 1454780 1745736 1963953 2182170 2618604 2909560 3273255 3491472 3927906 4364340 5237208 5819120 6546510 7855812 8728680 9819765 10474416 13093020 15711624 17457360 19639530 26186040 31423248 39279060 52372080 78558120 157116240