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1450540500 = 22353432523
BaseRepresentation
bin101011001110101…
…0111110111010100
310202002110002111020
41112131113313110
510432314244000
6355534041140
750642251023
oct12635276724
93662402436
101450540500
11684879602
123459491b0
131a1695bb6
14da90a8ba
1587529ba0
hex56757dd4

1450540500 has 144 divisors (see below), whose sum is σ = 4332758976. Its totient is φ = 377092800.

The previous prime is 1450540493. The next prime is 1450540537. The reversal of 1450540500 is 50450541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2773239 + ... + 2773761.

It is an arithmetic number, because the mean of its divisors is an integer number (30088604).

Almost surely, 21450540500 is an apocalyptic number.

1450540500 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 1450540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166379488).

1450540500 is an abundant number, since it is smaller than the sum of its proper divisors (2882218476).

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

1450540500 is a wasteful number, since it uses less digits than its factorization.

1450540500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 1450540500 is about 38085.9619807614. The cubic root of 1450540500 is about 1131.9918142557.

The spelling of 1450540500 in words is "one billion, four hundred fifty million, five hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 125 129 150 172 215 250 258 300 375 430 500 516 523 645 750 860 1046 1075 1290 1500 1569 1849 2092 2150 2580 2615 3138 3225 3698 4300 5230 5375 5547 6276 6450 7396 7845 9245 10460 10750 11094 12900 13075 15690 16125 18490 21500 22188 22489 26150 27735 31380 32250 36980 39225 44978 46225 52300 55470 64500 65375 67467 78450 89956 92450 110940 112445 130750 134934 138675 156900 184900 196125 224890 231125 261500 269868 277350 337335 392250 449780 462250 554700 562225 674670 693375 784500 924500 967027 1124450 1349340 1386750 1686675 1934054 2248900 2773500 2811125 2901081 3373350 3868108 4835135 5622250 5802162 6746700 8433375 9670270 11244500 11604324 14505405 16866750 19340540 24175675 29010810 33733500 48351350 58021620 72527025 96702700 120878375 145054050 241756750 290108100 362635125 483513500 725270250 1450540500