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197136896 = 2911172971
BaseRepresentation
bin10111100000000…
…01001000000000
3111201221120222112
423300001020000
5400431340041
631321154452
74612431065
oct1360011000
9451846875
10197136896
11a1307960
125602ba28
1331ac4068
141c278c6c
1512490deb
hexbc01200

197136896 has 160 divisors (see below), whose sum is σ = 477290880. Its totient is φ = 80281600.

The previous prime is 197136881. The next prime is 197136899. The reversal of 197136896 is 698631791.

It is not an unprimeable number, because it can be changed into a prime (197136899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2776541 + ... + 2776611.

It is an arithmetic number, because the mean of its divisors is an integer number (2983068).

Almost surely, 2197136896 is an apocalyptic number.

197136896 is a gapful number since it is divisible by the number (16) 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 197136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238645440).

197136896 is an abundant number, since it is smaller than the sum of its proper divisors (280153984).

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

197136896 is a wasteful number, since it uses less digits than its factorization.

197136896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its digits is 489888, while the sum is 50.

The square root of 197136896 is about 14040.5447187778. The cubic root of 197136896 is about 581.9995355113. Note that the first 3 decimals are identical.

The spelling of 197136896 in words is "one hundred ninety-seven million, one hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 64 68 71 88 116 128 136 142 176 187 232 256 272 284 319 352 374 464 493 512 544 568 638 704 748 781 928 986 1088 1136 1207 1276 1408 1496 1562 1856 1972 2059 2176 2272 2414 2552 2816 2992 3124 3712 3944 4118 4352 4544 4828 5104 5423 5632 5984 6248 7424 7888 8236 8704 9088 9656 10208 10846 11968 12496 13277 14848 15776 16472 18176 19312 20416 21692 22649 23936 24992 26554 31552 32944 35003 36352 38624 40832 43384 45298 47872 49984 53108 63104 65888 70006 77248 81664 86768 90596 95744 99968 106216 126208 131776 140012 154496 163328 173536 181192 199936 212432 252416 263552 280024 308992 347072 362384 385033 399872 424864 527104 560048 617984 694144 724768 770066 849728 1054208 1120096 1388288 1449536 1540132 1699456 2240192 2776576 2899072 3080264 3398912 4480384 5798144 6160528 6797824 8960768 11596288 12321056 17921536 24642112 49284224 98568448 197136896