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157019190 = 23567191409
BaseRepresentation
bin10010101101111…
…10110000110110
3101221110101211120
421112332300312
5310144103230
623325244410
73614432616
oct1126766066
9357411746
10157019190
11806a6929
1244703706
13266b8a83
1416bd4a46
15dbb9310
hex95bec36

157019190 has 64 divisors (see below), whose sum is σ = 385413120. Its totient is φ = 40930560.

The previous prime is 157019189. The next prime is 157019201. The reversal of 157019190 is 91910751.

157019190 = T220 + T221 + ... + T983.

It is a happy number.

It is a super-2 number, since 2×1570191902 = 49310052056512200, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383706 + ... + 384114.

It is an arithmetic number, because the mean of its divisors is an integer number (6022080).

Almost surely, 2157019190 is an apocalyptic number.

157019190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157019190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192706560).

157019190 is an abundant number, since it is smaller than the sum of its proper divisors (228393930).

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

157019190 is a wasteful number, since it uses less digits than its factorization.

157019190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 2835, while the sum is 33.

The square root of 157019190 is about 12530.7298271090. The cubic root of 157019190 is about 539.4910499577.

The spelling of 157019190 in words is "one hundred fifty-seven million, nineteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 67 134 191 201 335 382 402 409 573 670 818 955 1005 1146 1227 1910 2010 2045 2454 2865 4090 5730 6135 12270 12797 25594 27403 38391 54806 63985 76782 78119 82209 127970 137015 156238 164418 191955 234357 274030 383910 390595 411045 468714 781190 822090 1171785 2343570 5233973 10467946 15701919 26169865 31403838 52339730 78509595 157019190