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151029840 = 24351348407
BaseRepresentation
bin10010000000010…
…00100001010000
3101112012002222210
421000020201100
5302130423330
622553032120
73512506143
oct1100104120
9345162883
10151029840
1178285a55
12426b5640
132539c890
14160b605a
15d3d48b0
hex9008850

151029840 has 80 divisors (see below), whose sum is σ = 504217728. Its totient is φ = 37175808.

The previous prime is 151029829. The next prime is 151029863. The reversal of 151029840 is 48920151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 151029798 and 151029807.

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, 21084 + ... + 27323.

Almost surely, 2151029840 is an apocalyptic number.

151029840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151029840 is an abundant number, since it is smaller than the sum of its proper divisors (353187888).

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

151029840 is a wasteful number, since it uses less digits than its factorization.

151029840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48436 (or 48430 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 151029840 is about 12289.4198398460. The cubic root of 151029840 is about 532.5424771599.

Adding to 151029840 its reverse (48920151), we get a palindrome (199949991).

It can be divided in two parts, 15102 and 9840, that added together give a palindrome (24942).

The spelling of 151029840 in words is "one hundred fifty-one million, twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 48407 96814 145221 193628 242035 290442 387256 484070 580884 629291 726105 774512 968140 1161768 1258582 1452210 1887873 1936280 2323536 2517164 2904420 3146455 3775746 3872560 5034328 5808840 6292910 7551492 9439365 10068656 11617680 12585820 15102984 18878730 25171640 30205968 37757460 50343280 75514920 151029840