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1000023040 = 21051731129
BaseRepresentation
bin111011100110110…
…010010000000000
32120200201102201101
4323212302100000
54022001214130
6243121544144
733532025032
oct7346622000
92520642641
101000023040
1147353a125
1223aaa5054
1312c247813
1496b55c52
155cbd81ca
hex3b9b2400

1000023040 has 88 divisors (see below), whose sum is σ = 2414886840. Its totient is φ = 397344768.

The previous prime is 1000022971. The next prime is 1000023041. The reversal of 1000023040 is 403200001.

It can be written as a sum of positive squares in 4 ways, for example, as 97140736 + 902882304 = 9856^2 + 30048^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1000023041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 885196 + ... + 886324.

Almost surely, 21000023040 is an apocalyptic number.

1000023040 is a gapful number since it is divisible by the number (10) 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 1000023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207443420).

1000023040 is an abundant number, since it is smaller than the sum of its proper divisors (1414863800).

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

1000023040 is a wasteful number, since it uses less digits than its factorization.

1000023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1000023040 is about 31623.1408939719. The cubic root of 1000023040 is about 1000.0076799410.

Adding to 1000023040 its reverse (403200001), we get a palindrome (1403223041).

The spelling of 1000023040 in words is "one billion, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 173 256 320 346 512 640 692 865 1024 1129 1280 1384 1730 2258 2560 2768 3460 4516 5120 5536 5645 6920 9032 11072 11290 13840 18064 22144 22580 27680 36128 44288 45160 55360 72256 88576 90320 110720 144512 177152 180640 195317 221440 289024 361280 390634 442880 578048 722560 781268 885760 976585 1156096 1445120 1562536 1953170 2890240 3125072 3906340 5780480 6250144 7812680 12500288 15625360 25000576 31250720 50001152 62501440 100002304 125002880 200004608 250005760 500011520 1000023040