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155252240 = 245111341331
BaseRepresentation
bin10010100000011…
…11011000010000
3101211010122000222
421100033120100
5304221032430
623223332212
73563423303
oct1120173020
9354118028
10155252240
117a6aa340
1243bb1068
132621a740
1416894b3a
15d96a9e5
hex940f610

155252240 has 160 divisors (see below), whose sum is σ = 435722112. Its totient is φ = 50688000.

The previous prime is 155252183. The next prime is 155252243. The reversal of 155252240 is 42252551.

155252240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155252243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468875 + ... + 469205.

Almost surely, 2155252240 is an apocalyptic number.

155252240 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 155252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217861056).

155252240 is an abundant number, since it is smaller than the sum of its proper divisors (280469872).

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

155252240 is a wasteful number, since it uses less digits than its factorization.

155252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 155252240 is about 12460.0256821565. The cubic root of 155252240 is about 537.4597655119.

The spelling of 155252240 in words is "one hundred fifty-five million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 41 44 52 55 65 80 82 88 104 110 130 143 164 176 205 208 220 260 286 328 331 410 440 451 520 533 572 656 662 715 820 880 902 1040 1066 1144 1324 1430 1640 1655 1804 2132 2255 2288 2648 2665 2860 3280 3310 3608 3641 4264 4303 4510 5296 5330 5720 5863 6620 7216 7282 8528 8606 9020 10660 11440 11726 13240 13571 14564 17212 18040 18205 21320 21515 23452 26480 27142 29128 29315 34424 36080 36410 42640 43030 46904 47333 54284 58256 58630 67855 68848 72820 86060 93808 94666 108568 117260 135710 145640 149281 172120 176423 189332 217136 234520 236665 271420 291280 298562 344240 352846 378664 469040 473330 542840 597124 705692 746405 757328 882115 946660 1085680 1194248 1411384 1492810 1764230 1893320 1940653 2388496 2822768 2985620 3528460 3786640 3881306 5971240 7056920 7762612 9703265 11942480 14113840 15525224 19406530 31050448 38813060 77626120 155252240