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2042024010 = 235138958831
BaseRepresentation
bin111100110110110…
…1101000001001010
312021022102120022220
41321231231001022
513140224232020
6534343354510
7101413626525
oct17155550112
95238376286
102042024010
1195873a954
1248ba52a36
1326709c240
141552b7bbc
15be414240
hex79b6d04a

2042024010 has 64 divisors (see below), whose sum is σ = 5337239040. Its totient is φ = 496995840.

The previous prime is 2042023987. The next prime is 2042024021. The reversal of 2042024010 is 104202402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5295 + ... + 64125.

It is an arithmetic number, because the mean of its divisors is an integer number (83394360).

Almost surely, 22042024010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042024010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668619520).

2042024010 is an abundant number, since it is smaller than the sum of its proper divisors (3295215030).

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

2042024010 is a wasteful number, since it uses less digits than its factorization.

2042024010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58943.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2042024010 is about 45188.7597749706. The cubic root of 2042024010 is about 1268.6844438290.

Adding to 2042024010 its reverse (104202402), we get a palindrome (2146226412).

The spelling of 2042024010 in words is "two billion, forty-two million, twenty-four thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 390 445 534 890 1157 1335 2314 2670 3471 5785 6942 11570 17355 34710 58831 117662 176493 294155 352986 588310 764803 882465 1529606 1764930 2294409 3824015 4588818 5235959 7648030 10471918 11472045 15707877 22944090 26179795 31415754 52359590 68067467 78539385 136134934 157078770 204202401 340337335 408404802 680674670 1021012005 2042024010