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4070736640 = 2854576959
BaseRepresentation
bin1111001010100010…
…1000001100000000
3101111200210211212201
43302220220030000
531314102033030
61511534002544
7202606455565
oct36250501400
911450724781
104070736640
1117a9908763
12957346454
134cb48a609
142a88c886c
1518c5992ca
hexf2a28300

4070736640 has 72 divisors (see below), whose sum is σ = 9773426880. Its totient is φ = 1624498176.

The previous prime is 4070736617. The next prime is 4070736653. The reversal of 4070736640 is 466370704.

It is a self number, because there is not a number n which added to its sum of digits gives 4070736640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581481 + ... + 588439.

It is an arithmetic number, because the mean of its divisors is an integer number (135742040).

Almost surely, 24070736640 is an apocalyptic number.

4070736640 is a gapful number since it is divisible by the number (40) 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 4070736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886713440).

4070736640 is an abundant number, since it is smaller than the sum of its proper divisors (5702690240).

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

4070736640 is an equidigital number, since it uses as much as digits as its factorization.

4070736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 4070736640 is about 63802.3247225366. The cubic root of 4070736640 is about 1596.7037137240.

The spelling of 4070736640 in words is "four billion, seventy million, seven hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 457 640 914 1280 1828 2285 3656 4570 6959 7312 9140 13918 14624 18280 27836 29248 34795 36560 55672 58496 69590 73120 111344 116992 139180 146240 222688 278360 292480 445376 556720 584960 890752 1113440 1781504 2226880 3180263 4453760 6360526 8907520 12721052 15901315 25442104 31802630 50884208 63605260 101768416 127210520 203536832 254421040 407073664 508842080 814147328 1017684160 2035368320 4070736640