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2060790624 = 253210965647
BaseRepresentation
bin111101011010101…
…0010101101100000
312022121202000021200
41322311102231200
513210030244444
6540253521200
7102032300634
oct17265225540
95277660250
102060790624
11968298552
124961a3200
1326ac40149
141579a0dc4
15c0dbe969
hex7ad52b60

2060790624 has 72 divisors (see below), whose sum is σ = 5914228320. Its totient is φ = 680617728.

The previous prime is 2060790619. The next prime is 2060790631. The reversal of 2060790624 is 4260970602.

It is a happy number.

2060790624 is a `hidden beast` number, since 20 + 6 + 0 + 7 + 9 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1432 + ... + 64215.

It is an arithmetic number, because the mean of its divisors is an integer number (82142060).

Almost surely, 22060790624 is an apocalyptic number.

2060790624 is a gapful number since it is divisible by the number (24) 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 2060790624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957114160).

2060790624 is an abundant number, since it is smaller than the sum of its proper divisors (3853437696).

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

2060790624 is a wasteful number, since it uses less digits than its factorization.

2060790624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65772 (or 65761 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2060790624 is about 45395.9318001074. The cubic root of 2060790624 is about 1272.5590873221.

The spelling of 2060790624 in words is "two billion, sixty million, seven hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 65647 131294 196941 262588 393882 525176 590823 787764 1050352 1181646 1575528 2100704 2363292 3151056 4726584 6302112 7155523 9453168 14311046 18906336 21466569 28622092 42933138 57244184 64399707 85866276 114488368 128799414 171732552 228976736 257598828 343465104 515197656 686930208 1030395312 2060790624