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190321152 = 293731571
BaseRepresentation
bin10110101100000…
…01001000000000
3111021010022112120
423112001020000
5342210234102
630515124240
74500463110
oct1326011000
9437108476
10190321152
119848210a
12538a3680
1330578988
141b3c3040
1511a966bc
hexb581200

190321152 has 160 divisors (see below), whose sum is σ = 599199744. Its totient is φ = 52531200.

The previous prime is 190321151. The next prime is 190321169. The reversal of 190321152 is 251123091.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (190321151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333027 + ... + 333597.

Almost surely, 2190321152 is an apocalyptic number.

190321152 is a gapful number since it is divisible by the number (12) 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 190321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299599872).

190321152 is an abundant number, since it is smaller than the sum of its proper divisors (408878592).

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

190321152 is an equidigital number, since it uses as much as digits as its factorization.

190321152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 190321152 is about 13795.6932410082. The cubic root of 190321152 is about 575.2134325500.

The spelling of 190321152 in words is "one hundred ninety million, three hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 571 651 672 744 768 868 896 992 1142 1302 1344 1488 1536 1713 1736 1792 1984 2284 2604 2688 2976 3426 3472 3584 3968 3997 4568 5208 5376 5952 6852 6944 7936 7994 9136 10416 10752 11904 11991 13704 13888 15872 15988 17701 18272 20832 23808 23982 27408 27776 31976 35402 36544 41664 47616 47964 53103 54816 55552 63952 70804 73088 83328 95928 106206 109632 111104 123907 127904 141608 146176 166656 191856 212412 219264 247814 255808 283216 292352 333312 371721 383712 424824 438528 495628 511616 566432 743442 767424 849648 877056 991256 1023232 1132864 1486884 1534848 1699296 1982512 2046464 2265728 2973768 3069696 3398592 3965024 4531456 5947536 6139392 6797184 7930048 9062912 11895072 13594368 15860096 23790144 27188736 31720192 47580288 63440384 95160576 190321152