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42003240 = 2335541647
BaseRepresentation
bin1010000000111…
…0101100101000
32221000222121120
42200032230220
541223100430
64100135240
71020010266
oct240165450
987028546
1042003240
1121789724
1212097520
1389185b6
145815436
153a4a610
hex280eb28

42003240 has 64 divisors (see below), whose sum is σ = 126437760. Its totient is φ = 11162880.

The previous prime is 42003239. The next prime is 42003253. The reversal of 42003240 is 4230024.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 64597 + ... + 65243.

It is an arithmetic number, because the mean of its divisors is an integer number (1975590).

Almost surely, 242003240 is an apocalyptic number.

42003240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42003240 is an abundant number, since it is smaller than the sum of its proper divisors (84434520).

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

42003240 is a wasteful number, since it uses less digits than its factorization.

42003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42003240 is about 6480.9906650141. The cubic root of 42003240 is about 347.6116026130.

Adding to 42003240 its reverse (4230024), we get a palindrome (46233264).

The spelling of 42003240 in words is "forty-two million, three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 541 647 1082 1294 1623 1941 2164 2588 2705 3235 3246 3882 4328 5176 5410 6470 6492 7764 8115 9705 10820 12940 12984 15528 16230 19410 21640 25880 32460 38820 64920 77640 350027 700054 1050081 1400108 1750135 2100162 2800216 3500270 4200324 5250405 7000540 8400648 10500810 14001080 21001620 42003240