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155345400 = 233252712329
BaseRepresentation
bin10010100001001…
…10000111111000
3101211022100211100
421100212013320
5304232023100
623225331400
73564262020
oct1120460770
9354270740
10155345400
117a763331
1244036b60
1326250c72
14168baa80
15d988400
hex94261f8

155345400 has 144 divisors (see below), whose sum is σ = 596278800. Its totient is φ = 35504640.

The previous prime is 155345353. The next prime is 155345401. The reversal of 155345400 is 4543551.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155345401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6436 + ... + 18764.

It is an arithmetic number, because the mean of its divisors is an integer number (4140825).

Almost surely, 2155345400 is an apocalyptic number.

155345400 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 155345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298139400).

155345400 is an abundant number, since it is smaller than the sum of its proper divisors (440933400).

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

155345400 is a wasteful number, since it uses less digits than its factorization.

155345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12358 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 155345400 is about 12463.7634765748. The cubic root of 155345400 is about 537.5672459583.

Adding to 155345400 its reverse (4543551), we get a palindrome (159888951).

The spelling of 155345400 in words is "one hundred fifty-five million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12329 12600 24658 36987 49316 61645 73974 86303 98632 110961 123290 147948 172606 184935 221922 246580 258909 295896 308225 345212 369870 431515 443844 493160 517818 554805 616450 690424 739740 776727 863030 887688 924675 1035636 1109610 1232900 1294545 1479480 1553454 1726060 1849350 2071272 2157575 2219220 2465800 2589090 2774025 3106908 3452120 3698700 3883635 4315150 4438440 5178180 5548050 6213816 6472725 7397400 7767270 8630300 10356360 11096100 12945450 15534540 17260600 19418175 22192200 25890900 31069080 38836350 51781800 77672700 155345400