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2940789456 = 2433113119963
BaseRepresentation
bin1010111101001000…
…1110001011010000
321120221121120202000
42233102032023100
522010320230311
61203451154000
7132606204123
oct25722161320
97527546660
102940789456
111279aa9710
126a0a45900
1337b352a07
141dc7d23ba
1512329a056
hexaf48e2d0

2940789456 has 160 divisors (see below), whose sum is σ = 9506058240. Its totient is φ = 862358400.

The previous prime is 2940789433. The next prime is 2940789473. The reversal of 2940789456 is 6549870492.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 137331 + ... + 157293.

It is an arithmetic number, because the mean of its divisors is an integer number (59412864).

Almost surely, 22940789456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940789456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753029120).

2940789456 is an abundant number, since it is smaller than the sum of its proper divisors (6565268784).

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

2940789456 is a wasteful number, since it uses less digits than its factorization.

2940789456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20010 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2940789456 is about 54229.0462390774. The cubic root of 2940789456 is about 1432.6979655685.

The spelling of 2940789456 in words is "two billion, nine hundred forty million, seven hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2376 2728 3069 3348 4092 4464 4752 5456 6138 6696 8184 9207 12276 13392 16368 18414 19963 24552 36828 39926 49104 59889 73656 79852 119778 147312 159704 179667 219593 239556 319408 359334 439186 479112 539001 618853 658779 718668 878372 958224 1078002 1237706 1317558 1437336 1756744 1856559 1976337 2156004 2475412 2635116 2874672 3513488 3713118 3952674 4312008 4950824 5270232 5569677 5929011 6807383 7426236 7905348 8624016 9901648 10540464 11139354 11858022 13614766 14852472 15810696 16709031 20422149 22278708 23716044 27229532 29704944 31621392 33418062 40844298 44557416 47432088 54459064 61266447 66836124 81688596 89114832 94864176 108918128 122532894 133672248 163377192 183799341 245065788 267344496 326754384 367598682 490131576 735197364 980263152 1470394728 2940789456