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155143040 = 2751329643
BaseRepresentation
bin10010011111101…
…00101110000000
3101210221002020112
421033310232000
5304204034130
623221130452
73562460033
oct1117645600
9353832215
10155143040
117a635298
1243b59a28
13261acb20
141686701a
15d948495
hex93f4b80

155143040 has 128 divisors (see below), whose sum is σ = 413834400. Its totient is φ = 55222272.

The previous prime is 155143033. The next prime is 155143049. The reversal of 155143040 is 40341551.

155143040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 155142997 and 155143015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155143049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240959 + ... + 241601.

Almost surely, 2155143040 is an apocalyptic number.

155143040 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 155143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206917200).

155143040 is an abundant number, since it is smaller than the sum of its proper divisors (258691360).

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

155143040 is a wasteful number, since it uses less digits than its factorization.

155143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 155143040 is about 12455.6428978997. The cubic root of 155143040 is about 537.3337246633. Note that the first 3 decimals are identical.

Adding to 155143040 its reverse (40341551), we get a palindrome (195484591).

The spelling of 155143040 in words is "one hundred fifty-five million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 260 290 320 377 416 464 520 580 640 643 754 832 928 1040 1160 1286 1508 1664 1856 1885 2080 2320 2572 3016 3215 3712 3770 4160 4640 5144 6032 6430 7540 8320 8359 9280 10288 12064 12860 15080 16718 18560 18647 20576 24128 25720 30160 33436 37294 41152 41795 48256 51440 60320 66872 74588 82304 83590 93235 102880 120640 133744 149176 167180 186470 205760 241280 242411 267488 298352 334360 372940 411520 484822 534976 596704 668720 745880 969644 1069952 1193408 1212055 1337440 1491760 1939288 2386816 2424110 2674880 2983520 3878576 4848220 5349760 5967040 7757152 9696440 11934080 15514304 19392880 31028608 38785760 77571520 155143040