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190505796 = 22313101107113
BaseRepresentation
bin10110101101011…
…10001101000100
3111021110200211020
423112232031010
5342232141141
630523111140
74502162325
oct1326561504
9437420736
10190505796
1198598908
12539724b0
1330611a30
141b43044c
1511ad1266
hexb5ae344

190505796 has 96 divisors (see below), whose sum is σ = 492283008. Its totient is φ = 56985600.

The previous prime is 190505779. The next prime is 190505807. The reversal of 190505796 is 697505091.

190505796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685836 + ... + 1685948.

It is an arithmetic number, because the mean of its divisors is an integer number (5127948).

Almost surely, 2190505796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190505796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246141504).

190505796 is an abundant number, since it is smaller than the sum of its proper divisors (301777212).

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

190505796 is a wasteful number, since it uses less digits than its factorization.

190505796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 190505796 is about 13802.3837071717. The cubic root of 190505796 is about 575.3993908268.

The spelling of 190505796 in words is "one hundred ninety million, five hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 107 113 156 202 214 226 303 321 339 404 428 452 606 642 678 1212 1284 1313 1356 1391 1469 2626 2782 2938 3939 4173 4407 5252 5564 5876 7878 8346 8814 10807 11413 12091 15756 16692 17628 21614 22826 24182 32421 34239 36273 43228 45652 48364 64842 68478 72546 129684 136956 140491 145092 148369 157183 280982 296738 314366 421473 445107 471549 561964 593476 628732 842946 890214 943098 1221191 1685892 1780428 1886196 2442382 3663573 4884764 7327146 14654292 15875483 31750966 47626449 63501932 95252898 190505796