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1002031420 = 225132893331
BaseRepresentation
bin111011101110011…
…100100100111100
32120211111110200211
4323232130210330
54023010001140
6243233002204
733555061255
oct7356344474
92524443624
101002031420
11474691045
1223b6b3364
1312c79ba00
1497119b2c
155ce832ea
hex3bb9c93c

1002031420 has 72 divisors (see below), whose sum is σ = 2304877680. Its totient is φ = 365713920.

The previous prime is 1002031417. The next prime is 1002031427. The reversal of 1002031420 is 241302001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1002031420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002031427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299155 + ... + 302485.

It is an arithmetic number, because the mean of its divisors is an integer number (32012190).

Almost surely, 21002031420 is an apocalyptic number.

1002031420 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 1002031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152438840).

1002031420 is an abundant number, since it is smaller than the sum of its proper divisors (1302846260).

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

1002031420 is a wasteful number, since it uses less digits than its factorization.

1002031420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1002031420 is about 31654.8798765688. The cubic root of 1002031420 is about 1000.6766819982.

Adding to 1002031420 its reverse (241302001), we get a palindrome (1243333421).

The spelling of 1002031420 in words is "one billion, two million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 169 178 260 338 356 445 676 845 890 1157 1690 1780 2314 3331 3380 4628 5785 6662 11570 13324 15041 16655 23140 30082 33310 43303 60164 66620 75205 86606 150410 173212 216515 296459 300820 433030 562939 592918 866060 1125878 1185836 1482295 2251756 2814695 2964590 3853967 5629390 5929180 7707934 11258780 15415868 19269835 38539670 50101571 77079340 100203142 200406284 250507855 501015710 1002031420