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661195440 = 243351916111
BaseRepresentation
bin100111011010010…
…000101010110000
31201002011012122000
4213122100222300
52323231223230
6145335414000
722246032333
oct4732205260
91632135560
10661195440
1130a255a14
12165524300
13a6ca3a09
1463b5661a
153d0a9b60
hex27690ab0

661195440 has 160 divisors (see below), whose sum is σ = 2397465600. Its totient is φ = 167028480.

The previous prime is 661195411. The next prime is 661195471. The reversal of 661195440 is 44591166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 661195395 and 661195404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32985 + ... + 49095.

It is an arithmetic number, because the mean of its divisors is an integer number (14984160).

Almost surely, 2661195440 is an apocalyptic number.

661195440 is a gapful number since it is divisible by the number (60) 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 661195440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198732800).

661195440 is an abundant number, since it is smaller than the sum of its proper divisors (1736270160).

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

661195440 is a wasteful number, since it uses less digits than its factorization.

661195440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16152 (or 16140 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 661195440 is about 25713.7208509387. The cubic root of 661195440 is about 871.1841188888.

The spelling of 661195440 in words is "six hundred sixty-one million, one hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 16111 20520 32222 41040 48333 64444 80555 96666 128888 144999 161110 193332 241665 257776 289998 306109 322220 386664 434997 483330 579996 612218 644440 724995 773328 869994 918327 966660 1159992 1224436 1288880 1449990 1530545 1739988 1836654 1933320 2174985 2319984 2448872 2754981 2899980 3061090 3479976 3673308 3866640 4349970 4591635 4897744 5509962 5799960 6122180 6959952 7346616 8264943 8699940 9183270 11019924 11599920 12244360 13774905 14693232 16529886 17399880 18366540 22039848 24488720 27549810 33059772 34799760 36733080 41324715 44079696 55099620 66119544 73466160 82649430 110199240 132239088 165298860 220398480 330597720 661195440