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2031433040 = 2457132631061
BaseRepresentation
bin111100100010101…
…0011010101010000
312020120111111020202
41321011103111100
513130021324130
6533324354332
7101224616210
oct17105232520
95216444222
102031433040
1195276678a
124883a59a8
13264b316b0
14153b1c240
15bd521145
hex79153550

2031433040 has 160 divisors (see below), whose sum is σ = 5840626176. Its totient is φ = 639866880.

The previous prime is 2031433021. The next prime is 2031433057. The reversal of 2031433040 is 403341302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1914110 + ... + 1915170.

Almost surely, 22031433040 is an apocalyptic number.

2031433040 is a gapful number since it is divisible by the number (20) 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 2031433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920313088).

2031433040 is an abundant number, since it is smaller than the sum of its proper divisors (3809193136).

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

2031433040 is a wasteful number, since it uses less digits than its factorization.

2031433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2031433040 is about 45071.4215440339. The cubic root of 2031433040 is about 1266.4872943911.

Adding to 2031433040 its reverse (403341302), we get a palindrome (2434774342).

The spelling of 2031433040 in words is "two billion, thirty-one million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 263 280 364 455 520 526 560 728 910 1040 1052 1061 1315 1456 1820 1841 2104 2122 2630 3419 3640 3682 4208 4244 5260 5305 6838 7280 7364 7427 8488 9205 10520 10610 13676 13793 14728 14854 16976 17095 18410 21040 21220 23933 27352 27586 29456 29708 34190 36820 37135 42440 47866 54704 55172 59416 68380 68965 73640 74270 84880 95732 96551 110344 118832 119665 136760 137930 147280 148540 191464 193102 220688 239330 273520 275860 279043 297080 382928 386204 478660 482755 551720 558086 594160 772408 957320 965510 1103440 1116172 1395215 1544816 1914640 1931020 1953301 2232344 2790430 3627559 3862040 3906602 4464688 5580860 7255118 7724080 7813204 9766505 11161720 14510236 15626408 18137795 19533010 22323440 25392913 29020472 31252816 36275590 39066020 50785826 58040944 72551180 78132040 101571652 126964565 145102360 156264080 203143304 253929130 290204720 406286608 507858260 1015716520 2031433040