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1195138680 = 2335137139523
BaseRepresentation
bin100011100111100…
…0101111001111000
310002021212100001120
41013033011321320
54421423414210
6314331545240
741421340221
oct10717057170
93067770046
101195138680
1156369641a
122942bb220
131607b1868
14b4a26248
156edca270
hex473c5e78

1195138680 has 128 divisors (see below), whose sum is σ = 3644524800. Its totient is φ = 313500672.

The previous prime is 1195138667. The next prime is 1195138687. The reversal of 1195138680 is 868315911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1195138687) 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 31 ways as a sum of consecutive naturals, for example, 2284899 + ... + 2285421.

It is an arithmetic number, because the mean of its divisors is an integer number (28472850).

Almost surely, 21195138680 is an apocalyptic number.

1195138680 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 1195138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822262400).

1195138680 is an abundant number, since it is smaller than the sum of its proper divisors (2449386120).

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

1195138680 is a wasteful number, since it uses less digits than its factorization.

1195138680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 1195138680 is about 34570.7778333089. Note that the first 3 decimals coincide. The cubic root of 1195138680 is about 1061.2216483524.

The spelling of 1195138680 in words is "one billion, one hundred ninety-five million, one hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 139 274 278 411 417 523 548 556 685 695 822 834 1046 1096 1112 1370 1390 1569 1644 1668 2055 2085 2092 2615 2740 2780 3138 3288 3336 4110 4170 4184 5230 5480 5560 6276 7845 8220 8340 10460 12552 15690 16440 16680 19043 20920 31380 38086 57129 62760 71651 72697 76172 95215 114258 143302 145394 152344 190430 214953 218091 228516 285645 286604 290788 358255 363485 380860 429906 436182 457032 571290 573208 581576 716510 726970 761720 859812 872364 1074765 1090455 1142580 1433020 1453940 1719624 1744728 2149530 2180910 2285160 2866040 2907880 4299060 4361820 8598120 8723640 9959489 19918978 29878467 39837956 49797445 59756934 79675912 99594890 119513868 149392335 199189780 239027736 298784670 398379560 597569340 1195138680