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1009697370 = 235116745667
BaseRepresentation
bin111100001011101…
…100001001011010
32121100220221101220
4330023230021122
54031440303440
6244105152510
734010200053
oct7413541132
92540827356
101009697370
11478a47640
1224218b736
13131254086
149815372a
155d9998d0
hex3c2ec25a

1009697370 has 64 divisors (see below), whose sum is σ = 2683086336. Its totient is φ = 241116480.

The previous prime is 1009697333. The next prime is 1009697387. The reversal of 1009697370 is 737969001.

1009697370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724 + ... + 44943.

It is an arithmetic number, because the mean of its divisors is an integer number (41923224).

Almost surely, 21009697370 is an apocalyptic number.

1009697370 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 1009697370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341543168).

1009697370 is an abundant number, since it is smaller than the sum of its proper divisors (1673388966).

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

1009697370 is a wasteful number, since it uses less digits than its factorization.

1009697370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45755.

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 1009697370 is about 31775.7355540356. The cubic root of 1009697370 is about 1003.2220638212. Note that the first 3 decimals are identical.

The spelling of 1009697370 in words is "one billion, nine million, six hundred ninety-seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 7370 11055 22110 45667 91334 137001 228335 274002 456670 502337 685005 1004674 1370010 1507011 2511685 3014022 3059689 5023370 6119378 7535055 9179067 15070110 15298445 18358134 30596890 33656579 45895335 67313158 91790670 100969737 168282895 201939474 336565790 504848685 1009697370