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157173040 = 24529371831
BaseRepresentation
bin10010101111001…
…00010100110000
3101221202012212201
421113210110300
5310214014130
623332432544
73615643303
oct1127442460
9357665781
10157173040
11807a1482
1244778754
1326740acb
1416c34b3a
15dbe9bca
hex95e4530

157173040 has 80 divisors (see below), whose sum is σ = 388457280. Its totient is φ = 59028480.

The previous prime is 157173019. The next prime is 157173047. The reversal of 157173040 is 40371751.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (157173047) 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, 84925 + ... + 86755.

It is an arithmetic number, because the mean of its divisors is an integer number (4855716).

Almost surely, 2157173040 is an apocalyptic number.

157173040 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 157173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194228640).

157173040 is an abundant number, since it is smaller than the sum of its proper divisors (231284240).

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

157173040 is a wasteful number, since it uses less digits than its factorization.

157173040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 157173040 is about 12536.8672322873. The cubic root of 157173040 is about 539.6671931928.

The spelling of 157173040 in words is "one hundred fifty-seven million, one hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 37 40 58 74 80 116 145 148 185 232 290 296 370 464 580 592 740 1073 1160 1480 1831 2146 2320 2960 3662 4292 5365 7324 8584 9155 10730 14648 17168 18310 21460 29296 36620 42920 53099 67747 73240 85840 106198 135494 146480 212396 265495 270988 338735 424792 530990 541976 677470 849584 1061980 1083952 1354940 1964663 2123960 2709880 3929326 4247920 5419760 7858652 9823315 15717304 19646630 31434608 39293260 78586520 157173040