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5007033840 = 243588323627
BaseRepresentation
bin1001010100111000…
…10100010111110000
3110220221121200011210
410222130110113300
540223300040330
62144502040120
7235036041204
oct45234242760
913827550153
105007033840
11213a3816a6
12b78a19040
1361a452323
14356db2b04
151e48958b0
hex12a7145f0

5007033840 has 80 divisors (see below), whose sum is σ = 15540041088. Its totient is φ = 1333640448.

The previous prime is 5007033839. The next prime is 5007033841. The reversal of 5007033840 is 483307005.

It is an interprime number because it is at equal distance from previous prime (5007033839) and next prime (5007033841).

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 = 5007033798 and 5007033807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007033841) 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, 200107 + ... + 223733.

Almost surely, 25007033840 is an apocalyptic number.

It is an amenable number.

5007033840 is an abundant number, since it is smaller than the sum of its proper divisors (10533007248).

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

5007033840 is a wasteful number, since it uses less digits than its factorization.

5007033840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24526 (or 24520 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5007033840 is about 70760.3973985449. The cubic root of 5007033840 is about 1710.7774174471. Note that the first 3 decimals are identical.

The spelling of 5007033840 in words is "five billion, seven million, thirty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 883 1766 2649 3532 4415 5298 7064 8830 10596 13245 14128 17660 21192 23627 26490 35320 42384 47254 52980 70640 70881 94508 105960 118135 141762 189016 211920 236270 283524 354405 378032 472540 567048 708810 945080 1134096 1417620 1890160 2835240 5670480 20862641 41725282 62587923 83450564 104313205 125175846 166901128 208626410 250351692 312939615 333802256 417252820 500703384 625879230 834505640 1001406768 1251758460 1669011280 2503516920 5007033840