Search a number
-
+
1007061230 = 25726173331
BaseRepresentation
bin111100000001101…
…000100011101110
32121011222000022002
4330001220203232
54030301424410
6243532452302
733645610400
oct7401504356
92534860262
101007061230
1147750700a
1224131a092
13130840226
1497a68b70
155d6287a5
hex3c0688ee

1007061230 has 48 divisors (see below), whose sum is σ = 2112714576. Its totient is φ = 344615040.

The previous prime is 1007061197. The next prime is 1007061241. The reversal of 1007061230 is 321607001.

It is a happy number.

It is a super-2 number, since 2×10070612302 = 2028344641938225800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300665 + ... + 303995.

It is an arithmetic number, because the mean of its divisors is an integer number (44014887).

Almost surely, 21007061230 is an apocalyptic number.

1007061230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1007061230 is an abundant number, since it is smaller than the sum of its proper divisors (1105653346).

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

1007061230 is a wasteful number, since it uses less digits than its factorization.

1007061230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1007061230 is about 31734.2280511123. The cubic root of 1007061230 is about 1002.3482248572.

Adding to 1007061230 its reverse (321607001), we get a palindrome (1328668231).

The spelling of 1007061230 in words is "one billion, seven million, sixty-one thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 617 1234 3085 3331 4319 6170 6662 8638 16655 21595 23317 30233 33310 43190 46634 60466 116585 151165 163219 233170 302330 326438 816095 1632190 2055227 4110454 10276135 14386589 20552270 28773178 71932945 100706123 143865890 201412246 503530615 1007061230