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6031461540 = 22351322933767
BaseRepresentation
bin1011001111000000…
…01100110010100100
3120120100020222210110
411213200030302210
544323023232130
62434255053020
7302315401656
oct54740146244
916510228713
106031461540
11261566a365
121203b11170
13751763070
1441307c6d6
1525479eab0
hex16780cca4

6031461540 has 96 divisors (see below), whose sum is σ = 18267137280. Its totient is φ = 1478140416.

The previous prime is 6031461539. The next prime is 6031461547. The reversal of 6031461540 is 451641306.

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 = 6031461498 and 6031461507.

It is not an unprimeable number, because it can be changed into a prime (6031461547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161737 + ... + 195503.

It is an arithmetic number, because the mean of its divisors is an integer number (190282680).

Almost surely, 26031461540 is an apocalyptic number.

6031461540 is a gapful number since it is divisible by the number (60) 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 6031461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133568640).

6031461540 is an abundant number, since it is smaller than the sum of its proper divisors (12235675740).

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

6031461540 is a wasteful number, since it uses less digits than its factorization.

6031461540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34021 (or 34019 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6031461540 is about 77662.4847658121. The cubic root of 6031461540 is about 1820.2911360529.

The spelling of 6031461540 in words is "six billion, thirty-one million, four hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 229 260 390 458 687 780 916 1145 1374 2290 2748 2977 3435 4580 5954 6870 8931 11908 13740 14885 17862 29770 33767 35724 44655 59540 67534 89310 101301 135068 168835 178620 202602 337670 405204 438971 506505 675340 877942 1013010 1316913 1755884 2026020 2194855 2633826 4389710 5267652 6584565 7732643 8779420 13169130 15465286 23197929 26338260 30930572 38663215 46395858 77326430 92791716 100524359 115989645 154652860 201048718 231979290 301573077 402097436 463958580 502621795 603146154 1005243590 1206292308 1507865385 2010487180 3015730770 6031461540