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1035223040 = 214512637
BaseRepresentation
bin111101101101000…
…100000000000000
32200010221210001002
4331231010000000
54110004114130
6250420231132
734440151655
oct7555040000
92603853032
101035223040
114913a1435
1224a83b4a8
13136620617
149b6b9c2c
1560d3cb45
hex3db44000

1035223040 has 60 divisors (see below), whose sum is σ = 2484656076. Its totient is φ = 414056448.

The previous prime is 1035222949. The next prime is 1035223043. The reversal of 1035223040 is 403225301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 220463104 + 814759936 = 14848^2 + 28544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1035223043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75602 + ... + 88238.

Almost surely, 21035223040 is an apocalyptic number.

1035223040 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 1035223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242328038).

1035223040 is an abundant number, since it is smaller than the sum of its proper divisors (1449433036).

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

1035223040 is an frugal number, since it uses more digits than its factorization.

1035223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1035223040 is about 32174.8821287662. The cubic root of 1035223040 is about 1011.6057977136.

Adding to 1035223040 its reverse (403225301), we get a palindrome (1438448341).

The spelling of 1035223040 in words is "one billion, thirty-five million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 12637 16384 20480 25274 40960 50548 63185 81920 101096 126370 202192 252740 404384 505480 808768 1010960 1617536 2021920 3235072 4043840 6470144 8087680 12940288 16175360 25880576 32350720 51761152 64701440 103522304 129402880 207044608 258805760 517611520 1035223040