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153050240 = 2757127269
BaseRepresentation
bin10010001111101…
…01110010000000
3101122222202110102
421013311302000
5303140101430
623104221532
73535622420
oct1107656200
9348882412
10153050240
1179435a02
124330a8a8
1325929395
1416480480
15d683345
hex91f5c80

153050240 has 128 divisors (see below), whose sum is σ = 423014400. Its totient is φ = 51867648.

The previous prime is 153050239. The next prime is 153050243. The reversal of 153050240 is 42050351.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153050243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568826 + ... + 569094.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2153050240 is an apocalyptic number.

153050240 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 153050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

153050240 is an abundant number, since it is smaller than the sum of its proper divisors (269964160).

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

153050240 is a wasteful number, since it uses less digits than its factorization.

153050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 153050240 is about 12371.3475418000. The cubic root of 153050240 is about 534.9066596994.

The spelling of 153050240 in words is "one hundred fifty-three million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 128 140 160 224 254 269 280 320 448 508 538 560 635 640 889 896 1016 1076 1120 1270 1345 1778 1883 2032 2152 2240 2540 2690 3556 3766 4064 4304 4445 4480 5080 5380 7112 7532 8128 8608 8890 9415 10160 10760 14224 15064 16256 17216 17780 18830 20320 21520 28448 30128 34163 34432 35560 37660 40640 43040 56896 60256 68326 71120 75320 81280 86080 113792 120512 136652 142240 150640 170815 172160 239141 241024 273304 284480 301280 341630 478282 546608 568960 602560 683260 956564 1093216 1195705 1205120 1366520 1913128 2186432 2391410 2733040 3826256 4372864 4782820 5466080 7652512 9565640 10932160 15305024 19131280 21864320 30610048 38262560 76525120 153050240