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1420551024 = 2432359113193
BaseRepresentation
bin101010010101011…
…1110001101110000
310200000000110122220
41110222332031300
510402130113044
6352543201040
750126325114
oct12452761560
93600013586
101420551024
11669956012
123378a6180
131983c5949
14d6941744
1584aa4019
hex54abe370

1420551024 has 160 divisors (see below), whose sum is σ = 3949032960. Its totient is φ = 439025664.

The previous prime is 1420551023. The next prime is 1420551079. The reversal of 1420551024 is 4201550241.

1420551024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1420550985 and 1420551003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420551023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7360272 + ... + 7360464.

It is an arithmetic number, because the mean of its divisors is an integer number (24681456).

Almost surely, 21420551024 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 1420551024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974516480).

1420551024 is an abundant number, since it is smaller than the sum of its proper divisors (2528481936).

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

1420551024 is a wasteful number, since it uses less digits than its factorization.

1420551024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1420551024 is about 37690.1979830300. The cubic root of 1420551024 is about 1124.1362321842.

The spelling of 1420551024 in words is "one billion, four hundred twenty million, five hundred fifty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 92 113 118 138 177 184 193 226 236 276 339 354 368 386 452 472 552 579 678 708 772 904 944 1104 1158 1356 1357 1416 1544 1808 2316 2599 2712 2714 2832 3088 4071 4439 4632 5198 5424 5428 6667 7797 8142 8878 9264 10396 10856 11387 13317 13334 15594 16284 17756 20001 20792 21712 21809 22774 26634 26668 31188 32568 34161 35512 40002 41584 43618 45548 53268 53336 62376 65136 65427 68322 71024 80004 87236 91096 106536 106672 124752 130854 136644 153341 160008 174472 182192 213072 261708 261901 273288 306682 320016 348944 460023 501607 523416 523802 546576 613364 785703 920046 1003214 1046832 1047604 1226728 1286731 1504821 1571406 1840092 2006428 2095208 2453456 2573462 3009642 3142812 3680184 3860193 4012856 4190416 5146924 6019284 6285624 7360368 7720386 8025712 10293848 12038568 12571248 15440772 20587696 24077136 29594813 30881544 59189626 61763088 88784439 118379252 177568878 236758504 355137756 473517008 710275512 1420551024