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157212240 = 2435661991
BaseRepresentation
bin10010101111011…
…01111001010000
3101221211012122120
421113231321100
5310221242430
623333334240
73616165503
oct1127557120
9357735576
10157212240
1180818979
1244797380
13267558c3
1416c4513a
15dc06610
hex95ede50

157212240 has 80 divisors (see below), whose sum is σ = 488587776. Its totient is φ = 41817600.

The previous prime is 157212239. The next prime is 157212269. The reversal of 157212240 is 42212751.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 157212240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158145 + ... + 159135.

Almost surely, 2157212240 is an apocalyptic number.

157212240 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 157212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244293888).

157212240 is an abundant number, since it is smaller than the sum of its proper divisors (331375536).

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

157212240 is a wasteful number, since it uses less digits than its factorization.

157212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 157212240 is about 12538.4305237936. The cubic root of 157212240 is about 539.7120549907.

Adding to 157212240 its reverse (42212751), we get a palindrome (199424991).

The spelling of 157212240 in words is "one hundred fifty-seven million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 661 991 1322 1982 1983 2644 2973 3305 3964 3966 4955 5288 5946 6610 7928 7932 9910 9915 10576 11892 13220 14865 15856 15864 19820 19830 23784 26440 29730 31728 39640 39660 47568 52880 59460 79280 79320 118920 158640 237840 655051 1310102 1965153 2620204 3275255 3930306 5240408 6550510 7860612 9825765 10480816 13101020 15721224 19651530 26202040 31442448 39303060 52404080 78606120 157212240