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1252803930 = 235731533631
BaseRepresentation
bin100101010101100…
…0100010101011010
310020022101000220120
41022223010111122
510031204211210
6324151534110
743021441410
oct11253042532
93208330816
101252803930
115931a2154
122ab68a336
1316c721c01
14bc5572b0
1574ebb270
hex4aac455a

1252803930 has 128 divisors (see below), whose sum is σ = 3615031296. Its totient is φ = 271814400.

The previous prime is 1252803901. The next prime is 1252803949. The reversal of 1252803930 is 393082521.

It is a junction number, because it is equal to n+sod(n) for n = 1252803891 and 1252803900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343215 + ... + 346845.

It is an arithmetic number, because the mean of its divisors is an integer number (28242432).

Almost surely, 21252803930 is an apocalyptic number.

1252803930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252803930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807515648).

1252803930 is an abundant number, since it is smaller than the sum of its proper divisors (2362227366).

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

1252803930 is a wasteful number, since it uses less digits than its factorization.

1252803930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1252803930 is about 35394.9704054121. The cubic root of 1252803930 is about 1078.0221947257.

The spelling of 1252803930 in words is "one billion, two hundred fifty-two million, eight hundred three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 53 62 70 93 105 106 155 159 186 210 217 265 310 318 371 434 465 530 651 742 795 930 1085 1113 1302 1590 1643 1855 2170 2226 3255 3286 3631 3710 4929 5565 6510 7262 8215 9858 10893 11130 11501 16430 18155 21786 23002 24645 25417 34503 36310 49290 50834 54465 57505 69006 76251 108930 112561 115010 127085 152502 172515 192443 225122 254170 337683 345030 381255 384886 562805 577329 675366 762510 787927 962215 1125610 1154658 1347101 1575854 1688415 1924430 2363781 2694202 2886645 3376830 3939635 4041303 4727562 5773290 5965733 6735505 7879270 8082606 11818905 11931466 13471010 17897199 20206515 23637810 29828665 35794398 40413030 41760131 59657330 83520262 89485995 125280393 178971990 208800655 250560786 417601310 626401965 1252803930