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155559040 = 2757132671
BaseRepresentation
bin10010100010110…
…10010010000000
3101211201012212221
421101122102000
5304310342130
623234100424
73566141620
oct1121322200
9354635787
10155559040
117a89989a
124411a714
13262c7290
1416934880
15d9cb87a
hex945a480

155559040 has 128 divisors (see below), whose sum is σ = 457873920. Its totient is φ = 49213440.

The previous prime is 155559037. The next prime is 155559067. The reversal of 155559040 is 40955551.

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

It is a super-2 number, since 2×1555590402 = 48397229851443200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 155558987 and 155559005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56905 + ... + 59575.

It is an arithmetic number, because the mean of its divisors is an integer number (3577140).

Almost surely, 2155559040 is an apocalyptic number.

155559040 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 155559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228936960).

155559040 is an abundant number, since it is smaller than the sum of its proper divisors (302314880).

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

155559040 is a wasteful number, since it uses less digits than its factorization.

155559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The square root of 155559040 is about 12472.3309770067. The cubic root of 155559040 is about 537.8135642895.

The spelling of 155559040 in words is "one hundred fifty-five million, five hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2671 2912 3640 4160 4480 5342 5824 7280 8320 10684 11648 13355 14560 18697 21368 26710 29120 34723 37394 42736 53420 58240 69446 74788 85472 93485 106840 138892 149576 170944 173615 186970 213680 243061 277784 299152 341888 347230 373940 427360 486122 555568 598304 694460 747880 854720 972244 1111136 1196608 1215305 1388920 1495760 1709440 1944488 2222272 2393216 2430610 2777840 2991520 3888976 4444544 4861220 5555680 5983040 7777952 9722440 11111360 11966080 15555904 19444880 22222720 31111808 38889760 77779520 155559040