Search a number
-
+
157095680 = 285789197
BaseRepresentation
bin10010101110100…
…01011100000000
3101221121021202112
421113101130000
5310204030210
623331034452
73615201620
oct1127213400
9357537675
10157095680
1180749345
124473ba28
1326714831
1416c14880
15dbd1d05
hex95d1700

157095680 has 144 divisors (see below), whose sum is σ = 437088960. Its totient is φ = 52985856.

The previous prime is 157095661. The next prime is 157095707. The reversal of 157095680 is 86590751.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797342 + ... + 797538.

It is an arithmetic number, because the mean of its divisors is an integer number (3035340).

Almost surely, 2157095680 is an apocalyptic number.

157095680 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 157095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218544480).

157095680 is an abundant number, since it is smaller than the sum of its proper divisors (279993280).

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

157095680 is an equidigital number, since it uses as much as digits as its factorization.

157095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 157095680 is about 12533.7815522691. The cubic root of 157095680 is about 539.5786379176.

The spelling of 157095680 in words is "one hundred fifty-seven million, ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 89 112 128 140 160 178 197 224 256 280 320 356 394 445 448 560 623 640 712 788 890 896 985 1120 1246 1280 1379 1424 1576 1780 1792 1970 2240 2492 2758 2848 3115 3152 3560 3940 4480 4984 5516 5696 6230 6304 6895 7120 7880 8960 9968 11032 11392 12460 12608 13790 14240 15760 17533 19936 22064 22784 24920 25216 27580 28480 31520 35066 39872 44128 49840 50432 55160 56960 63040 70132 79744 87665 88256 99680 110320 113920 122731 126080 140264 159488 175330 176512 199360 220640 245462 252160 280528 350660 353024 398720 441280 490924 561056 613655 701320 797440 882560 981848 1122112 1227310 1402640 1765120 1963696 2244224 2454620 2805280 3927392 4488448 4909240 5610560 7854784 9818480 11221120 15709568 19636960 22442240 31419136 39273920 78547840 157095680