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155360040 = 233511373181
BaseRepresentation
bin10010100001010…
…01101100101000
3101211100002220120
421100221230220
5304233010130
623225523240
73564352503
oct1120515450
9354302816
10155360040
117a773330
1244043520
1326257824
14168c213a
15d98c910
hex9429b28

155360040 has 128 divisors (see below), whose sum is σ = 522357120. Its totient is φ = 36633600.

The previous prime is 155359969. The next prime is 155360071. The reversal of 155360040 is 40063551.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47250 + ... + 50430.

It is an arithmetic number, because the mean of its divisors is an integer number (4080915).

Almost surely, 2155360040 is an apocalyptic number.

155360040 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 155360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261178560).

155360040 is an abundant number, since it is smaller than the sum of its proper divisors (366997080).

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

155360040 is a wasteful number, since it uses less digits than its factorization.

155360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 155360040 is about 12464.3507652826. The cubic root of 155360040 is about 537.5841324947.

The spelling of 155360040 in words is "one hundred fifty-five million, three hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3181 3256 4070 4440 4884 6105 6362 8140 9543 9768 12210 12724 15905 16280 19086 24420 25448 31810 34991 38172 47715 48840 63620 69982 76344 95430 104973 117697 127240 139964 174955 190860 209946 235394 279928 349910 353091 381720 419892 470788 524865 588485 699820 706182 839784 941576 1049730 1176970 1294667 1399640 1412364 1765455 2099460 2353940 2589334 2824728 3530910 3884001 4198920 4707880 5178668 6473335 7061820 7768002 10357336 12946670 14123640 15536004 19420005 25893340 31072008 38840010 51786680 77680020 155360040