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1424023040 = 2951161829
BaseRepresentation
bin101010011100000…
…1101111000000000
310200020112212101002
41110320031320000
510404022214130
6353145431132
750200665446
oct12470157000
93606485332
101424023040
11670907650
12338a9b4a8
131990400ab
14d71a6b96
158503cb45
hex54e0de00

1424023040 has 160 divisors (see below), whose sum is σ = 3790337760. Its totient is φ = 508723200.

The previous prime is 1424023021. The next prime is 1424023063. The reversal of 1424023040 is 403204241.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

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, 1717346 + ... + 1718174.

It is an arithmetic number, because the mean of its divisors is an integer number (23689611).

Almost surely, 21424023040 is an apocalyptic number.

1424023040 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 1424023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895168880).

1424023040 is an abundant number, since it is smaller than the sum of its proper divisors (2366314720).

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

1424023040 is an equidigital number, since it uses as much as digits as its factorization.

1424023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

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

The square root of 1424023040 is about 37736.2298063810. The cubic root of 1424023040 is about 1125.0513332955.

Adding to 1424023040 its reverse (403204241), we get a palindrome (1827227281).

The spelling of 1424023040 in words is "one billion, four hundred twenty-four million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 64 80 88 110 122 128 160 176 220 244 256 305 320 352 440 488 512 610 640 671 704 829 880 976 1220 1280 1342 1408 1658 1760 1952 2440 2560 2684 2816 3316 3355 3520 3904 4145 4880 5368 5632 6632 6710 7040 7808 8290 9119 9760 10736 13264 13420 14080 15616 16580 18238 19520 21472 26528 26840 28160 31232 33160 36476 39040 42944 45595 50569 53056 53680 66320 72952 78080 85888 91190 101138 106112 107360 132640 145904 156160 171776 182380 202276 212224 214720 252845 265280 291808 343552 364760 404552 424448 429440 505690 530560 556259 583616 729520 809104 858880 1011380 1061120 1112518 1167232 1459040 1618208 1717760 2022760 2122240 2225036 2334464 2781295 2918080 3236416 4045520 4450072 4668928 5562590 5836160 6472832 8091040 8900144 11125180 11672320 12945664 16182080 17800288 22250360 23344640 25891328 32364160 35600576 44500720 64728320 71201152 89001440 129456640 142402304 178002880 284804608 356005760 712011520 1424023040