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155744240 = 24541103461
BaseRepresentation
bin10010100100001…
…11011111110000
3101212001121221012
421102013133300
5304332303430
623242050052
73600542561
oct1122073760
9355047835
10155744240
117aa05a53
12441a9928
1326360672
1416982168
15da16695
hex94877f0

155744240 has 80 divisors (see below), whose sum is σ = 375350976. Its totient is φ = 60057600.

The previous prime is 155744233. The next prime is 155744243. The reversal of 155744240 is 42447551.

155744240 is digitally balanced in base 2, 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 (80).

It is a super-3 number, since 3×1557442403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155744197 and 155744206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155744243) 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, 337610 + ... + 338070.

Almost surely, 2155744240 is an apocalyptic number.

155744240 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 155744240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

155744240 is an abundant number, since it is smaller than the sum of its proper divisors (219606736).

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

155744240 is a wasteful number, since it uses less digits than its factorization.

155744240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 155744240 is about 12479.7532026879. The cubic root of 155744240 is about 538.0269100197.

The spelling of 155744240 in words is "one hundred fifty-five million, seven hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 103 164 205 206 328 410 412 461 515 656 820 824 922 1030 1640 1648 1844 2060 2305 3280 3688 4120 4223 4610 7376 8240 8446 9220 16892 18440 18901 21115 33784 36880 37802 42230 47483 67568 75604 84460 94505 94966 151208 168920 189010 189932 237415 302416 337840 378020 379864 474830 756040 759728 949660 1512080 1899320 1946803 3798640 3893606 7787212 9734015 15574424 19468030 31148848 38936060 77872120 155744240