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151341400 = 23527215443
BaseRepresentation
bin10010000010101…
…00100101011000
3101112202221101001
421001110211120
5302220411100
623003434344
73515244400
oct1101244530
9345687331
10151341400
1178479041
12428259b4
132547b632
1416157800
15d446d6a
hex9054958

151341400 has 72 divisors (see below), whose sum is σ = 409343220. Its totient is φ = 51885120.

The previous prime is 151341391. The next prime is 151341439. The reversal of 151341400 is 4143151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2079 + ... + 17521.

Almost surely, 2151341400 is an apocalyptic number.

151341400 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 151341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204671610).

151341400 is an abundant number, since it is smaller than the sum of its proper divisors (258001820).

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

151341400 is a wasteful number, since it uses less digits than its factorization.

151341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15473 (or 15457 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 151341400 is about 12302.0892534561. The cubic root of 151341400 is about 532.9084202371.

Adding to 151341400 its reverse (4143151), we get a palindrome (155484551).

It can be divided in two parts, 151 and 341400, that added together give a triangular number (341551 = T826).

The spelling of 151341400 in words is "one hundred fifty-one million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 15443 30886 61772 77215 108101 123544 154430 216202 308860 386075 432404 540505 617720 756707 772150 864808 1081010 1513414 1544300 2162020 2702525 3026828 3088600 3783535 4324040 5405050 6053656 7567070 10810100 15134140 18917675 21620200 30268280 37835350 75670700 151341400