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1689211720 = 2357192910949
BaseRepresentation
bin110010010101111…
…0101001101001000
311100201112211212001
41210223311031020
511424414233340
6435341400344
756601030340
oct14453651510
94321484761
101689211720
11797574849
123b18690b4
1320bc6cc81
141204b7d20
159d47229a
hex64af5348

1689211720 has 128 divisors (see below), whose sum is σ = 4730400000. Its totient is φ = 529708032.

The previous prime is 1689211709. The next prime is 1689211721. The reversal of 1689211720 is 271129861.

It is a self number, because there is not a number n which added to its sum of digits gives 1689211720.

It is not an unprimeable number, because it can be changed into a prime (1689211721) 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, 148806 + ... + 159754.

It is an arithmetic number, because the mean of its divisors is an integer number (36956250).

Almost surely, 21689211720 is an apocalyptic number.

1689211720 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 1689211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365200000).

1689211720 is an abundant number, since it is smaller than the sum of its proper divisors (3041188280).

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

1689211720 is a wasteful number, since it uses less digits than its factorization.

1689211720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015 (or 11011 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 1689211720 is about 41100.0209245689. The cubic root of 1689211720 is about 1190.9531990380.

The spelling of 1689211720 in words is "one billion, six hundred eighty-nine million, two hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 29 35 38 40 56 58 70 76 95 116 133 140 145 152 190 203 232 266 280 290 380 406 532 551 580 665 760 812 1015 1064 1102 1160 1330 1624 2030 2204 2660 2755 3857 4060 4408 5320 5510 7714 8120 10949 11020 15428 19285 21898 22040 30856 38570 43796 54745 76643 77140 87592 109490 153286 154280 208031 218980 306572 317521 383215 416062 437960 613144 635042 766430 832124 1040155 1270084 1456217 1532860 1587605 1664248 2080310 2222647 2540168 2912434 3065720 3175210 4160620 4445294 5824868 6032899 6350420 7281085 8321240 8890588 11113235 11649736 12065798 12700840 14562170 17781176 22226470 24131596 29124340 30164495 42230293 44452940 48263192 58248680 60328990 84460586 88905880 120657980 168921172 211151465 241315960 337842344 422302930 844605860 1689211720