Search a number
-
+
151023040 = 265767421
BaseRepresentation
bin10010000000001…
…10110111000000
3101112011202122221
421000012313000
5302130214130
622552540424
73512450260
oct1100066700
9345152587
10151023040
1178280933
12426b1714
132539975c
14160b37a0
15d3d287a
hex9006dc0

151023040 has 56 divisors (see below), whose sum is σ = 411004512. Its totient is φ = 51778560.

The previous prime is 151023013. The next prime is 151023071. The reversal of 151023040 is 40320151.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1510230403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31471 + ... + 35950.

Almost surely, 2151023040 is an apocalyptic number.

151023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151023040 is an abundant number, since it is smaller than the sum of its proper divisors (259981472).

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

151023040 is an equidigital number, since it uses as much as digits as its factorization.

151023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67445 (or 67435 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 151023040 is about 12289.1431759907. The cubic root of 151023040 is about 532.5344846043.

Adding to 151023040 its reverse (40320151), we get a palindrome (191343191).

The spelling of 151023040 in words is "one hundred fifty-one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 67421 134842 269684 337105 471947 539368 674210 943894 1078736 1348420 1887788 2157472 2359735 2696840 3775576 4314944 4719470 5393680 7551152 9438940 10787360 15102304 18877880 21574720 30204608 37755760 75511520 151023040