Search a number
-
+
10034024240 = 2451716374507
BaseRepresentation
bin10010101100001001…
…10000111100110000
3221220021210020121102
421112010300330300
5131022202233430
64335355543532
7503436540662
oct112604607460
927807706542
1010034024240
114289a43a19
121b4045aba8
13c3ba71066
146b289c532
153dad7e345
hex256130f30

10034024240 has 80 divisors (see below), whose sum is σ = 24721980192. Its totient is φ = 3774369792.

The previous prime is 10034024239. The next prime is 10034024263. The reversal of 10034024240 is 4242043001.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2224067 + ... + 2228573.

Almost surely, 210034024240 is an apocalyptic number.

10034024240 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 10034024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360990096).

10034024240 is an abundant number, since it is smaller than the sum of its proper divisors (14687955952).

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

10034024240 is a wasteful number, since it uses less digits than its factorization.

10034024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10034024240 its reverse (4242043001), we get a palindrome (14276067241).

The spelling of 10034024240 in words is "ten billion, thirty-four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1637 3274 4507 6548 8185 9014 13096 16370 18028 22535 26192 27829 32740 36056 45070 55658 65480 72112 76619 90140 111316 130960 139145 153238 180280 222632 278290 306476 360560 383095 445264 556580 612952 766190 1113160 1225904 1532380 2226320 3064760 6129520 7377959 14755918 29511836 36889795 59023672 73779590 118047344 125425303 147559180 250850606 295118360 501701212 590236720 627126515 1003402424 1254253030 2006804848 2508506060 5017012120 10034024240