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189972783 = 3571121371
BaseRepresentation
bin10110101001011…
…00000100101111
3111020110121200000
423110230010233
5342113112113
630503435343
74464512340
oct1324540457
9436417600
10189972783
1198264400
1253755b53
1330486240
141b3320c7
1511a28373
hexb52c12f

189972783 has 144 divisors (see below), whose sum is σ = 390394368. Its totient is φ = 89812800.

The previous prime is 189972781. The next prime is 189972821. The reversal of 189972783 is 387279981.

189972783 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 189972783 - 21 = 189972781 is a prime.

Its product of digits (1524096) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189972781) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2675638 + ... + 2675708.

It is an arithmetic number, because the mean of its divisors is an integer number (2711072).

Almost surely, 2189972783 is an apocalyptic number.

189972783 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

189972783 is an abundant number, since it is smaller than the sum of its proper divisors (200421585).

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

189972783 is a wasteful number, since it uses less digits than its factorization.

189972783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 189972783 is about 13783.0614523770. The cubic root of 189972783 is about 574.8622561044.

The spelling of 189972783 in words is "one hundred eighty-nine million, nine hundred seventy-two thousand, seven hundred eighty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 71 77 81 91 99 117 121 143 189 213 231 243 273 297 351 363 429 497 567 639 693 781 819 847 891 923 1001 1053 1089 1287 1491 1573 1701 1917 2079 2343 2457 2541 2673 2769 3003 3159 3267 3861 4473 4719 5467 5751 6237 6461 7029 7371 7623 8307 8591 9009 9801 10153 11011 11583 13419 14157 16401 17253 18711 19383 21087 22113 22869 24921 25773 27027 29403 30459 33033 34749 40257 42471 49203 58149 60137 63261 68607 71071 74763 77319 81081 91377 99099 111683 120771 127413 147609 174447 180411 189783 205821 213213 224289 231957 243243 274131 297297 335049 382239 442827 523341 541233 639639 695871 781781 822393 891891 1005147 1328481 1570023 1623699 1918917 2087613 2345343 2467179 2675673 3015441 4871097 5756751 7036029 9046323 14613291 17270253 21108087 27138969 63324261 189972783