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2029397720 = 235721516857
BaseRepresentation
bin111100011110110…
…0010011011011000
312020102200002022112
41320331202123120
513124011211340
6533213011452
7101201411300
oct17075423330
95212602275
102029397720
119515a65a9
12487783b88
1326459b16c
1415374c600
15bd26d065
hex78f626d8

2029397720 has 96 divisors (see below), whose sum is σ = 5347594080. Its totient is φ = 691084800.

The previous prime is 2029397707. The next prime is 2029397723. The reversal of 2029397720 is 277939202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029397723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292532 + ... + 299388.

It is an arithmetic number, because the mean of its divisors is an integer number (55704105).

Almost surely, 22029397720 is an apocalyptic number.

2029397720 is a gapful number since it is divisible by the number (20) 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 2029397720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673797040).

2029397720 is an abundant number, since it is smaller than the sum of its proper divisors (3318196360).

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

2029397720 is a wasteful number, since it uses less digits than its factorization.

2029397720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 2029397720 is about 45048.8370549119. The cubic root of 2029397720 is about 1266.0641828521.

The spelling of 2029397720 in words is "two billion, twenty-nine million, three hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 151 196 245 280 302 392 490 604 755 980 1057 1208 1510 1960 2114 3020 4228 5285 6040 6857 7399 8456 10570 13714 14798 21140 27428 29596 34285 36995 42280 47999 54856 59192 68570 73990 95998 137140 147980 191996 239995 274280 295960 335993 383992 479990 671986 959980 1035407 1343972 1679965 1919960 2070814 2687944 3359930 4141628 5177035 6719860 7247849 8283256 10354070 13439720 14495698 20708140 28991396 36239245 41416280 50734943 57982792 72478490 101469886 144956980 202939772 253674715 289913960 405879544 507349430 1014698860 2029397720