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157343100 = 22352718389
BaseRepresentation
bin10010110000011…
…01110101111100
3101222001212011020
421120031311330
5310234434400
623340224140
73620252145
oct1130156574
9358055136
10157343100
11808a8222
124483b050
13267a0335
1416c7aacc
15dc302a0
hex960dd7c

157343100 has 144 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 40409600.

The previous prime is 157343099. The next prime is 157343111. The reversal of 157343100 is 1343751.

157343100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1573431002 = 49513702235220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1767856 + ... + 1767944.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2157343100 is an apocalyptic number.

157343100 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 157343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

157343100 is an abundant number, since it is smaller than the sum of its proper divisors (315126660).

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

157343100 is a wasteful number, since it uses less digits than its factorization.

157343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 157343100 is about 12543.6477948004. The cubic root of 157343100 is about 539.8617615966.

Adding to 157343100 its reverse (1343751), we get a palindrome (158686851).

The spelling of 157343100 in words is "one hundred fifty-seven million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 83 89 100 142 150 166 178 213 249 267 284 300 332 355 356 415 426 445 498 534 710 830 852 890 996 1065 1068 1245 1335 1420 1660 1775 1780 2075 2130 2225 2490 2670 3550 4150 4260 4450 4980 5325 5340 5893 6225 6319 6675 7100 7387 8300 8900 10650 11786 12450 12638 13350 14774 17679 18957 21300 22161 23572 24900 25276 26700 29465 29548 31595 35358 36935 37914 44322 58930 63190 70716 73870 75828 88395 88644 94785 110805 117860 126380 147325 147740 157975 176790 184675 189570 221610 294650 315950 353580 369350 379140 441975 443220 473925 524477 554025 589300 631900 738700 883950 947850 1048954 1108050 1573431 1767900 1895700 2097908 2216100 2622385 3146862 5244770 6293724 7867155 10489540 13111925 15734310 26223850 31468620 39335775 52447700 78671550 157343100