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155373240 = 233511313797
BaseRepresentation
bin10010100001011…
…00111010111000
3101211100210000110
421100230322320
5304233420430
623230104320
73564436131
oct1120547270
9354323013
10155373240
117a782240
124404b0a0
1326260839
14168c6c88
15d9917b0
hex942ceb8

155373240 has 128 divisors (see below), whose sum is σ = 525035520. Its totient is φ = 36441600.

The previous prime is 155373223. The next prime is 155373247. The reversal of 155373240 is 42373551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155373198 and 155373207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155373247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39022 + ... + 42818.

It is an arithmetic number, because the mean of its divisors is an integer number (4101840).

Almost surely, 2155373240 is an apocalyptic number.

155373240 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 155373240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262517760).

155373240 is an abundant number, since it is smaller than the sum of its proper divisors (369662280).

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

155373240 is a wasteful number, since it uses less digits than its factorization.

155373240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 155373240 is about 12464.8802641662. The cubic root of 155373240 is about 537.5993571509.

The spelling of 155373240 in words is "one hundred fifty-five million, three hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 3797 4092 5115 6820 7594 8184 10230 11391 13640 15188 18985 20460 22782 30376 37970 40920 41767 45564 56955 75940 83534 91128 113910 117707 125301 151880 167068 208835 227820 235414 250602 334136 353121 417670 455640 470828 501204 588535 626505 706242 835340 941656 1002408 1177070 1253010 1294777 1412484 1670680 1765605 2354140 2506020 2589554 2824968 3531210 3884331 4708280 5012040 5179108 6473885 7062420 7768662 10358216 12947770 14124840 15537324 19421655 25895540 31074648 38843310 51791080 77686620 155373240