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1972023280 = 24579312029
BaseRepresentation
bin111010110001010…
…1010111111110000
312002102201011101021
41311202222333300
513014314221110
6523403145224
766603631003
oct16542527760
95072634337
101972023280
11922179307
12470515214
132557302a6
14149c9553a
15b81d82da
hex758aaff0

1972023280 has 40 divisors (see below), whose sum is σ = 4643006400. Its totient is φ = 778821888.

The previous prime is 1972023269. The next prime is 1972023293. The reversal of 1972023280 is 823202791.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149695 + ... + 162334.

It is an arithmetic number, because the mean of its divisors is an integer number (116075160).

Almost surely, 21972023280 is an apocalyptic number.

1972023280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972023280 is an abundant number, since it is smaller than the sum of its proper divisors (2670983120).

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

1972023280 is a wasteful number, since it uses less digits than its factorization.

1972023280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312121 (or 312115 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1972023280 is about 44407.4687411926. The cubic root of 1972023280 is about 1254.0186992659.

The spelling of 1972023280 in words is "one billion, nine hundred seventy-two million, twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 312029 624058 1248116 1560145 2496232 3120290 4992464 6240580 12481160 24650291 24962320 49300582 98601164 123251455 197202328 246502910 394404656 493005820 986011640 1972023280