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2029311072 = 253241891931
BaseRepresentation
bin111100011110100…
…1101010001100000
312020102111200110100
41320331031101200
513124000423242
6533211102400
7101200600545
oct17075152140
95212450410
102029311072
11951547498
12487741a00
1326456a8a9
14153728bcc
15bd25254c
hex78f4d460

2029311072 has 144 divisors (see below), whose sum is σ = 5981124240. Its totient is φ = 652185600.

The previous prime is 2029311061. The next prime is 2029311079. The reversal of 2029311072 is 2701139202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029311079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049947 + ... + 1051877.

It is an arithmetic number, because the mean of its divisors is an integer number (41535585).

Almost surely, 22029311072 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 2029311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990562120).

2029311072 is an abundant number, since it is smaller than the sum of its proper divisors (3951813168).

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

2029311072 is a wasteful number, since it uses less digits than its factorization.

2029311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2029311072 is about 45047.8753328057. The cubic root of 2029311072 is about 1266.0461637966.

The spelling of 2029311072 in words is "two billion, twenty-nine million, three hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 89 96 123 144 164 178 246 267 288 328 356 369 492 534 656 712 738 801 984 1068 1312 1424 1476 1602 1931 1968 2136 2848 2952 3204 3649 3862 3936 4272 5793 5904 6408 7298 7724 8544 10947 11586 11808 12816 14596 15448 17379 21894 23172 25632 29192 30896 32841 34758 43788 46344 58384 61792 65682 69516 79171 87576 92688 116768 131364 139032 158342 171859 175152 185376 237513 262728 278064 316684 343718 350304 475026 515577 525456 556128 633368 687436 712539 950052 1031154 1050912 1266736 1374872 1425078 1546731 1900104 2062308 2533472 2749744 2850156 3093462 3800208 4124616 5499488 5700312 6186924 7046219 7600416 8249232 11400624 12373848 14092438 16498464 21138657 22801248 24747696 28184876 42277314 49495392 56369752 63415971 84554628 112739504 126831942 169109256 225479008 253663884 338218512 507327768 676437024 1014655536 2029311072