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152311040 = 285789191
BaseRepresentation
bin10010001010000…
…01010100000000
3101121121012110122
421011001110000
5302442423130
623040315412
73526423340
oct1105012400
9347535418
10152311040
1178a805a2
1243012b68
132572aa9b
141632ad20
15d5892e5
hex9141500

152311040 has 144 divisors (see below), whose sum is σ = 423843840. Its totient is φ = 51363840.

The previous prime is 152311021. The next prime is 152311051. The reversal of 152311040 is 40113251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797345 + ... + 797535.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2152311040 is an apocalyptic number.

152311040 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 152311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

152311040 is an abundant number, since it is smaller than the sum of its proper divisors (271532800).

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

152311040 is an equidigital number, since it uses as much as digits as its factorization.

152311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 152311040 is about 12341.4358970097. The cubic root of 152311040 is about 534.0441078839.

Adding to 152311040 its reverse (40113251), we get a palindrome (192424291).

The spelling of 152311040 in words is "one hundred fifty-two million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 89 112 128 140 160 178 191 224 256 280 320 356 382 445 448 560 623 640 712 764 890 896 955 1120 1246 1280 1337 1424 1528 1780 1792 1910 2240 2492 2674 2848 3056 3115 3560 3820 4480 4984 5348 5696 6112 6230 6685 7120 7640 8960 9968 10696 11392 12224 12460 13370 14240 15280 16999 19936 21392 22784 24448 24920 26740 28480 30560 33998 39872 42784 48896 49840 53480 56960 61120 67996 79744 84995 85568 99680 106960 113920 118993 122240 135992 159488 169990 171136 199360 213920 237986 244480 271984 339980 342272 398720 427840 475972 543968 594965 679960 797440 855680 951944 1087936 1189930 1359920 1711360 1903888 2175872 2379860 2719840 3807776 4351744 4759720 5439680 7615552 9519440 10879360 15231104 19038880 21758720 30462208 38077760 76155520 152311040