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155048520 = 233511235107
BaseRepresentation
bin10010011110111…
…01101001001000
3101210202021120210
421033131221020
5304143023040
623215121120
73561614334
oct1117355110
9353667523
10155048520
117a580280
1243b131a0
1326178ab3
14168407c4
15d92a480
hex93dda48

155048520 has 128 divisors (see below), whose sum is σ = 529597440. Its totient is φ = 35946240.

The previous prime is 155048507. The next prime is 155048527. The reversal of 155048520 is 25840551.

155048520 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (155048527) 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, 27807 + ... + 32913.

It is an arithmetic number, because the mean of its divisors is an integer number (4137480).

Almost surely, 2155048520 is an apocalyptic number.

155048520 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 155048520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264798720).

155048520 is an abundant number, since it is smaller than the sum of its proper divisors (374548920).

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

155048520 is a wasteful number, since it uses less digits than its factorization.

155048520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 155048520 is about 12451.8480556101. The cubic root of 155048520 is about 537.2245800069.

The spelling of 155048520 in words is "one hundred fifty-five million, forty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 5107 6072 7590 10120 10214 15180 15321 20428 25535 30360 30642 40856 51070 56177 61284 76605 102140 112354 117461 122568 153210 168531 204280 224708 234922 280885 306420 337062 352383 449416 469844 561770 587305 612840 674124 704766 842655 939688 1123540 1174610 1292071 1348248 1409532 1685310 1761915 2247080 2349220 2584142 2819064 3370620 3523830 3876213 4698440 5168284 6460355 6741240 7047660 7752426 10336568 12920710 14095320 15504852 19381065 25841420 31009704 38762130 51682840 77524260 155048520